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Geodesic interpretation of the global quasi-geostrophic equations. <i>Calculus of Variations and Partial Differential Equations </i>, <i>65</i>. <a href=\"https://doi.org/10.1007/s00526-025-03186-0\">https://doi.org/10.1007/s00526-025-03186-0</a>","chicago":"Modin, Klas, and Ali Suri. “Geodesic Interpretation of the Global Quasi-Geostrophic Equations.” <i>Calculus of Variations and Partial Differential Equations </i> 65 (2026). <a href=\"https://doi.org/10.1007/s00526-025-03186-0\">https://doi.org/10.1007/s00526-025-03186-0</a>.","ieee":"K. Modin and A. Suri, “Geodesic interpretation of the global quasi-geostrophic equations,” <i>Calculus of Variations and Partial Differential Equations </i>, vol. 65, 2026, doi: <a href=\"https://doi.org/10.1007/s00526-025-03186-0\">https://doi.org/10.1007/s00526-025-03186-0</a>.","ama":"Modin K, Suri A. Geodesic interpretation of the global quasi-geostrophic equations. <i>Calculus of Variations and Partial Differential Equations </i>. 2026;65. doi:<a href=\"https://doi.org/10.1007/s00526-025-03186-0\">https://doi.org/10.1007/s00526-025-03186-0</a>"},"intvolume":"        65","year":"2026","doi":"https://doi.org/10.1007/s00526-025-03186-0","title":"Geodesic interpretation of the global quasi-geostrophic equations","date_created":"2026-01-13T10:38:42Z","author":[{"last_name":"Modin","full_name":"Modin, Klas","first_name":"Klas"},{"first_name":"Ali","full_name":"Suri, Ali","id":"89268","last_name":"Suri","orcid":"https://orcid.org/0000-0002-9682-9037"}],"volume":65,"date_updated":"2026-01-13T10:54:15Z"},{"year":"2026","citation":{"ama":"Niestijl M. Holomorphic induction beyond the norm-continuous setting, with applications to positive energy representations. <i>Journal of Functional Analysis</i>. 2026;290(9). doi:<a href=\"https://doi.org/10.1016/j.jfa.2026.111382\">10.1016/j.jfa.2026.111382</a>","ieee":"M. Niestijl, “Holomorphic induction beyond the norm-continuous setting, with applications to positive energy representations,” <i>Journal of Functional Analysis</i>, vol. 290, no. 9, Art. no. 111382, 2026, doi: <a href=\"https://doi.org/10.1016/j.jfa.2026.111382\">10.1016/j.jfa.2026.111382</a>.","chicago":"Niestijl, Milan. “Holomorphic Induction beyond the Norm-Continuous Setting, with Applications to Positive Energy Representations.” <i>Journal of Functional Analysis</i> 290, no. 9 (2026). <a href=\"https://doi.org/10.1016/j.jfa.2026.111382\">https://doi.org/10.1016/j.jfa.2026.111382</a>.","short":"M. Niestijl, Journal of Functional Analysis 290 (2026).","bibtex":"@article{Niestijl_2026, title={Holomorphic induction beyond the norm-continuous setting, with applications to positive energy representations}, volume={290}, DOI={<a href=\"https://doi.org/10.1016/j.jfa.2026.111382\">10.1016/j.jfa.2026.111382</a>}, number={9111382}, journal={Journal of Functional Analysis}, publisher={Elsevier BV}, author={Niestijl, Milan}, year={2026} }","mla":"Niestijl, Milan. “Holomorphic Induction beyond the Norm-Continuous Setting, with Applications to Positive Energy Representations.” <i>Journal of Functional Analysis</i>, vol. 290, no. 9, 111382, Elsevier BV, 2026, doi:<a href=\"https://doi.org/10.1016/j.jfa.2026.111382\">10.1016/j.jfa.2026.111382</a>.","apa":"Niestijl, M. (2026). Holomorphic induction beyond the norm-continuous setting, with applications to positive energy representations. <i>Journal of Functional Analysis</i>, <i>290</i>(9), Article 111382. <a href=\"https://doi.org/10.1016/j.jfa.2026.111382\">https://doi.org/10.1016/j.jfa.2026.111382</a>"},"intvolume":"       290","publication_status":"published","publication_identifier":{"issn":["0022-1236"]},"issue":"9","title":"Holomorphic induction beyond the norm-continuous setting, with applications to positive energy representations","doi":"10.1016/j.jfa.2026.111382","publisher":"Elsevier BV","date_updated":"2026-02-20T09:41:45Z","author":[{"full_name":"Niestijl, Milan","last_name":"Niestijl","first_name":"Milan"}],"date_created":"2026-02-20T09:38:34Z","volume":290,"status":"public","type":"journal_article","publication":"Journal of Functional Analysis","article_number":"111382","language":[{"iso":"eng"}],"_id":"64290","user_id":"104095","department":[{"_id":"93"}]},{"status":"public","type":"preprint","language":[{"iso":"eng"}],"user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"_id":"64629","external_id":{"arxiv":["arXiv:2602.12362"]},"citation":{"ama":"Glöckner H, Neeb K-H. 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Suri, Differential Geometry and Its Applications 101 (2025).","mla":"Suri, Ali. “Stochastic Euler-Poincaré Reduction for Central Extension.” <i>Differential Geometry and Its Applications</i>, vol. 101, Elsevier, 2025, doi:<a href=\"https://doi.org/10.1016/j.difgeo.2025.102290\">https://doi.org/10.1016/j.difgeo.2025.102290</a>.","bibtex":"@article{Suri_2025, title={Stochastic Euler-Poincaré reduction for central extension}, volume={101}, DOI={<a href=\"https://doi.org/10.1016/j.difgeo.2025.102290\">https://doi.org/10.1016/j.difgeo.2025.102290</a>}, journal={Differential Geometry and its Applications}, publisher={Elsevier}, author={Suri, Ali}, year={2025} }","ama":"Suri A. Stochastic Euler-Poincaré reduction for central extension. <i>Differential Geometry and its Applications</i>. 2025;101. doi:<a href=\"https://doi.org/10.1016/j.difgeo.2025.102290\">https://doi.org/10.1016/j.difgeo.2025.102290</a>","chicago":"Suri, Ali. “Stochastic Euler-Poincaré Reduction for Central Extension.” <i>Differential Geometry and Its Applications</i> 101 (2025). <a href=\"https://doi.org/10.1016/j.difgeo.2025.102290\">https://doi.org/10.1016/j.difgeo.2025.102290</a>.","ieee":"A. 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Springer, 2025, doi:<a href=\"https://doi.org/10.1007/978-3-032-03921-7_41\">https://doi.org/10.1007/978-3-032-03921-7_41</a>.","bibtex":"@inproceedings{Cruzeiro_Suri_2025, place={Cham}, title={Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics}, DOI={<a href=\"https://doi.org/10.1007/978-3-032-03921-7_41\">https://doi.org/10.1007/978-3-032-03921-7_41</a>}, publisher={Springer}, author={Cruzeiro, Ana Bela and Suri, Ali}, year={2025} }","short":"A.B. Cruzeiro, A. Suri, in: Springer, Cham, 2025.","apa":"Cruzeiro, A. B., &#38; Suri, A. (2025). <i>Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics</i>. <a href=\"https://doi.org/10.1007/978-3-032-03921-7_41\">https://doi.org/10.1007/978-3-032-03921-7_41</a>","chicago":"Cruzeiro, Ana Bela, and Ali Suri. “Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics.” Cham: Springer, 2025. <a href=\"https://doi.org/10.1007/978-3-032-03921-7_41\">https://doi.org/10.1007/978-3-032-03921-7_41</a>.","ieee":"A. B. Cruzeiro and A. Suri, “Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics,” 2025, doi: <a href=\"https://doi.org/10.1007/978-3-032-03921-7_41\">https://doi.org/10.1007/978-3-032-03921-7_41</a>.","ama":"Cruzeiro AB, Suri A. Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics. 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Rahangdale, (2025).","ama":"Michor  P. W., Rahangdale P. Poisson bivectors on infinite dimensional manifolds. Published online 2025.","chicago":"Michor,  P. W., and Praful Rahangdale. “Poisson Bivectors on Infinite Dimensional Manifolds,” 2025.","ieee":"P. W. Michor and P. Rahangdale, “Poisson bivectors on infinite dimensional manifolds.” 2025."},"language":[{"iso":"eng"}],"_id":"63602","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"103300","abstract":[{"text":"We show that, on a smoothly paracompact convenient manifold $M$ modeled on a convenient space with the bornological approximation property, the dual map of a Poisson bracket factors as a smooth section of the vector bundle $L_{skew}^2(T^*M,\\mathbb R)$.","lang":"eng"}],"status":"public","type":"preprint"},{"issue":"04","publication_status":"published","quality_controlled":"1","publication_identifier":{"issn":["2972-4589","2972-4597"]},"citation":{"ama":"Glöckner H, Schmeding A, Suri A. Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups. <i>Geometric Mechanics</i>. 2025;01(04):383-437. doi:<a href=\"https://doi.org/10.1142/s2972458925500029\">10.1142/s2972458925500029</a>","ieee":"H. Glöckner, A. Schmeding, and A. Suri, “Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups,” <i>Geometric Mechanics</i>, vol. 01, no. 04, pp. 383–437, 2025, doi: <a href=\"https://doi.org/10.1142/s2972458925500029\">10.1142/s2972458925500029</a>.","chicago":"Glöckner, Helge, Alexander Schmeding, and Ali Suri. “Manifolds of Continuous BV-Functions and Vector Measure Regularity of Banach–Lie Groups.” <i>Geometric Mechanics</i> 01, no. 04 (2025): 383–437. <a href=\"https://doi.org/10.1142/s2972458925500029\">https://doi.org/10.1142/s2972458925500029</a>.","apa":"Glöckner, H., Schmeding, A., &#38; Suri, A. (2025). Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups. <i>Geometric Mechanics</i>, <i>01</i>(04), 383–437. <a href=\"https://doi.org/10.1142/s2972458925500029\">https://doi.org/10.1142/s2972458925500029</a>","bibtex":"@article{Glöckner_Schmeding_Suri_2025, title={Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups}, volume={01}, DOI={<a href=\"https://doi.org/10.1142/s2972458925500029\">10.1142/s2972458925500029</a>}, number={04}, journal={Geometric Mechanics}, publisher={World Scientific Pub Co Pte Ltd}, author={Glöckner, Helge and Schmeding, Alexander and Suri, Ali}, year={2025}, pages={383–437} }","short":"H. Glöckner, A. Schmeding, A. Suri, Geometric Mechanics 01 (2025) 383–437.","mla":"Glöckner, Helge, et al. “Manifolds of Continuous BV-Functions and Vector Measure Regularity of Banach–Lie Groups.” <i>Geometric Mechanics</i>, vol. 01, no. 04, World Scientific Pub Co Pte Ltd, 2025, pp. 383–437, doi:<a href=\"https://doi.org/10.1142/s2972458925500029\">10.1142/s2972458925500029</a>."},"intvolume":"         1","page":"383-437","year":"2025","author":[{"first_name":"Helge","full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner"},{"first_name":"Alexander","last_name":"Schmeding","full_name":"Schmeding, Alexander"},{"orcid":"https://orcid.org/0000-0002-9682-9037","last_name":"Suri","id":"89268","full_name":"Suri, Ali","first_name":"Ali"}],"date_created":"2026-01-16T10:22:21Z","volume":"01","date_updated":"2026-01-16T10:25:34Z","publisher":"World Scientific Pub Co Pte Ltd","doi":"10.1142/s2972458925500029","title":"Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups","type":"journal_article","publication":"Geometric Mechanics","status":"public","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"_id":"63649","language":[{"iso":"eng"}],"article_type":"original"},{"publication":"Communications in Mathematical Physics","type":"journal_article","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n          <jats:p>Motivated by asymptotic symmetry groups in general relativity, we consider projective unitary representations <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\overline{\\rho }$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mover>\r\n                    <mml:mi>ρ</mml:mi>\r\n                    <mml:mo>¯</mml:mo>\r\n                  </mml:mover>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> of the Lie group <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$${{\\,\\textrm{Diff}\\,}}_c(M)$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mrow>\r\n                        <mml:mspace/>\r\n                        <mml:mtext>Diff</mml:mtext>\r\n                        <mml:mspace/>\r\n                      </mml:mrow>\r\n                      <mml:mi>c</mml:mi>\r\n                    </mml:msub>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mi>M</mml:mi>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> of compactly supported diffeomorphisms of a smooth manifold <jats:italic>M</jats:italic> that satisfy a so-called generalized positive energy condition. In particular, this captures representations that are in a suitable sense compatible with a KMS state on the von Neumann algebra generated by <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\overline{\\rho }$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mover>\r\n                    <mml:mi>ρ</mml:mi>\r\n                    <mml:mo>¯</mml:mo>\r\n                  </mml:mover>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>. We show that if <jats:italic>M</jats:italic> is connected and <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\dim (M) &gt; 1$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mo>dim</mml:mo>\r\n                    <mml:mo>(</mml:mo>\r\n                    <mml:mi>M</mml:mi>\r\n                    <mml:mo>)</mml:mo>\r\n                    <mml:mo>&gt;</mml:mo>\r\n                    <mml:mn>1</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>, then any such representation is necessarily trivial on the identity component <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$${{\\,\\textrm{Diff}\\,}}_c(M)_0$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mrow>\r\n                        <mml:mspace/>\r\n                        <mml:mtext>Diff</mml:mtext>\r\n                        <mml:mspace/>\r\n                      </mml:mrow>\r\n                      <mml:mi>c</mml:mi>\r\n                    </mml:msub>\r\n                    <mml:msub>\r\n                      <mml:mrow>\r\n                        <mml:mo>(</mml:mo>\r\n                        <mml:mi>M</mml:mi>\r\n                        <mml:mo>)</mml:mo>\r\n                      </mml:mrow>\r\n                      <mml:mn>0</mml:mn>\r\n                    </mml:msub>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>. As an intermediate step towards this result, we determine the continuous second Lie algebra cohomology <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$H^2_\\textrm{ct}(\\mathcal {X}_c(M), \\mathbb {R})$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msubsup>\r\n                      <mml:mi>H</mml:mi>\r\n                      <mml:mtext>ct</mml:mtext>\r\n                      <mml:mn>2</mml:mn>\r\n                    </mml:msubsup>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:msub>\r\n                        <mml:mi>X</mml:mi>\r\n                        <mml:mi>c</mml:mi>\r\n                      </mml:msub>\r\n                      <mml:mrow>\r\n                        <mml:mo>(</mml:mo>\r\n                        <mml:mi>M</mml:mi>\r\n                        <mml:mo>)</mml:mo>\r\n                      </mml:mrow>\r\n                      <mml:mo>,</mml:mo>\r\n                      <mml:mi>R</mml:mi>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> of the Lie algebra of compactly supported vector fields. This is subtly different from Gelfand–Fuks cohomology in view of the compact support condition.</jats:p>","lang":"eng"}],"status":"public","_id":"64289","department":[{"_id":"93"}],"user_id":"104095","article_number":"45","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0010-3616","1432-0916"]},"publication_status":"published","issue":"2","year":"2025","intvolume":"       406","citation":{"ama":"Janssens B, Niestijl M. Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms. <i>Communications in Mathematical Physics</i>. 2025;406(2). doi:<a href=\"https://doi.org/10.1007/s00220-024-05226-w\">10.1007/s00220-024-05226-w</a>","ieee":"B. Janssens and M. Niestijl, “Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms,” <i>Communications in Mathematical Physics</i>, vol. 406, no. 2, Art. no. 45, 2025, doi: <a href=\"https://doi.org/10.1007/s00220-024-05226-w\">10.1007/s00220-024-05226-w</a>.","chicago":"Janssens, Bas, and Milan Niestijl. “Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms.” <i>Communications in Mathematical Physics</i> 406, no. 2 (2025). <a href=\"https://doi.org/10.1007/s00220-024-05226-w\">https://doi.org/10.1007/s00220-024-05226-w</a>.","apa":"Janssens, B., &#38; Niestijl, M. (2025). Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms. <i>Communications in Mathematical Physics</i>, <i>406</i>(2), Article 45. <a href=\"https://doi.org/10.1007/s00220-024-05226-w\">https://doi.org/10.1007/s00220-024-05226-w</a>","bibtex":"@article{Janssens_Niestijl_2025, title={Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms}, volume={406}, DOI={<a href=\"https://doi.org/10.1007/s00220-024-05226-w\">10.1007/s00220-024-05226-w</a>}, number={245}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Janssens, Bas and Niestijl, Milan}, year={2025} }","short":"B. Janssens, M. Niestijl, Communications in Mathematical Physics 406 (2025).","mla":"Janssens, Bas, and Milan Niestijl. “Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms.” <i>Communications in Mathematical Physics</i>, vol. 406, no. 2, 45, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1007/s00220-024-05226-w\">10.1007/s00220-024-05226-w</a>."},"publisher":"Springer Science and Business Media LLC","date_updated":"2026-02-20T09:41:41Z","volume":406,"author":[{"full_name":"Janssens, Bas","last_name":"Janssens","first_name":"Bas"},{"full_name":"Niestijl, Milan","last_name":"Niestijl","first_name":"Milan"}],"date_created":"2026-02-20T09:33:11Z","title":"Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms","doi":"10.1007/s00220-024-05226-w"},{"publication":"J. Lie Theory","type":"journal_editor","editor":[{"first_name":"Jan","full_name":"Frahm, Jan","last_name":"Frahm"},{"id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge"},{"last_name":"Hilgert","id":"220","full_name":"Hilgert, Joachim","first_name":"Joachim"},{"last_name":"Olafsson","full_name":"Olafsson, Gestur","first_name":"Gestur"}],"status":"public","_id":"64736","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","language":[{"iso":"eng"}],"quality_controlled":"1","issue":"4","year":"2025","intvolume":"        35","citation":{"apa":"Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday. (2025). In J. Frahm, H. Glöckner, J. Hilgert, &#38; G. Olafsson (Eds.), <i>J. Lie Theory</i> (Vol. 35, Issue 4).","bibtex":"@book{Frahm_Glöckner_Hilgert_Olafsson_2025, title={Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday}, volume={35}, number={4}, journal={J. Lie Theory}, year={2025} }","mla":"Frahm, Jan, et al., editors. “Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday.” <i>J. Lie Theory</i>, vol. 35, no. 4, 2025.","short":"J. Frahm, H. Glöckner, J. Hilgert, G. Olafsson, eds., Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday, 2025.","ama":"Frahm J, Glöckner H, Hilgert J, Olafsson G, eds. <i>Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday</i>. Vol 35.; 2025.","ieee":"J. Frahm, H. Glöckner, J. Hilgert, and G. Olafsson, Eds., <i>Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday</i>, vol. 35, no. 4. 2025.","chicago":"Frahm, Jan, Helge Glöckner, Joachim Hilgert, and Gestur Olafsson, eds. <i>Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday</i>. <i>J. Lie Theory</i>. Vol. 35, 2025."},"date_updated":"2026-02-26T17:51:43Z","volume":35,"date_created":"2026-02-26T17:42:01Z","title":"Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday"},{"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","_id":"64770","language":[{"iso":"eng"}],"type":"dissertation","status":"public","date_created":"2026-02-26T21:58:22Z","author":[{"first_name":"Matthieu","last_name":"Pinaud","full_name":"Pinaud, Matthieu"}],"supervisor":[{"id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge"}],"date_updated":"2026-02-26T21:58:36Z","oa":"1","doi":"10.17619/UNIPB/1-2211","main_file_link":[{"url":"https://nbn-resolving.org/urn:nbn:de:hbz:466:2-54221","open_access":"1"}],"title":"Manifold of mappings and regularity properties of half-Lie groups","citation":{"ama":"Pinaud M. <i>Manifold of Mappings and Regularity Properties of Half-Lie Groups</i>.; 2025. doi:<a href=\"https://doi.org/10.17619/UNIPB/1-2211\">10.17619/UNIPB/1-2211</a>","apa":"Pinaud, M. (2025). <i>Manifold of mappings and regularity properties of half-Lie groups</i>. <a href=\"https://doi.org/10.17619/UNIPB/1-2211\">https://doi.org/10.17619/UNIPB/1-2211</a>","short":"M. Pinaud, Manifold of Mappings and Regularity Properties of Half-Lie Groups, 2025.","bibtex":"@book{Pinaud_2025, title={Manifold of mappings and regularity properties of half-Lie groups}, DOI={<a href=\"https://doi.org/10.17619/UNIPB/1-2211\">10.17619/UNIPB/1-2211</a>}, author={Pinaud, Matthieu}, year={2025} }","mla":"Pinaud, Matthieu. <i>Manifold of Mappings and Regularity Properties of Half-Lie Groups</i>. 2025, doi:<a href=\"https://doi.org/10.17619/UNIPB/1-2211\">10.17619/UNIPB/1-2211</a>.","ieee":"M. Pinaud, <i>Manifold of mappings and regularity properties of half-Lie groups</i>. 2025.","chicago":"Pinaud, Matthieu. <i>Manifold of Mappings and Regularity Properties of Half-Lie Groups</i>, 2025. <a href=\"https://doi.org/10.17619/UNIPB/1-2211\">https://doi.org/10.17619/UNIPB/1-2211</a>."},"year":"2025"},{"article_number":"113690","language":[{"iso":"eng"}],"_id":"34807","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","abstract":[{"text":"Let $M$ be a compact, real analytic manifold and $G$ be the Lie group of all\r\nreal-analytic diffeomorphisms of $M$, which is modelled on the (DFS)-space\r\n${\\mathfrak g}$ of real-analytic vector fields on $M$. We study flows of\r\ntime-dependent real-analytic vector fields on $M$ which are integrable\r\nfunctions in time, and their dependence on the time-dependent vector field.\r\nNotably, we show that the Lie group $G$ is $L^1$-regular in the sense that each\r\n$[\\gamma]$ in $L^1([0,1],{\\mathfrak g})$ has an evolution which is an\r\nabsolutely continuous $G$-valued function on $[0,1]$ and smooth in $[\\gamma]$.\r\nAs tools for the proof, we develop several new results concerning\r\n$L^p$-regularity of infinite-dimensional Lie groups, for $1\\leq p\\leq \\infty$,\r\nwhich will be useful also for the discussion of other classes of groups.\r\nMoreover, we obtain new results concerning the continuity and complex\r\nanalyticity of non-linear mappings on open subsets of locally convex direct\r\nlimits.","lang":"eng"}],"status":"public","publication":"Nonlinear Analysis","type":"journal_article","title":"Lie groups of real analytic diffeomorphisms are L^1-regular","doi":"10.1016/j.na.2024.113690","date_updated":"2024-12-24T16:58:38Z","volume":252,"author":[{"last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178","first_name":"Helge"}],"date_created":"2022-12-22T07:49:32Z","year":"2025","intvolume":"       252","citation":{"ama":"Glöckner H. Lie groups of real analytic diffeomorphisms are L^1-regular. <i>Nonlinear Analysis</i>. 2025;252. doi:<a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>","chicago":"Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.” <i>Nonlinear Analysis</i> 252 (2025). <a href=\"https://doi.org/10.1016/j.na.2024.113690\">https://doi.org/10.1016/j.na.2024.113690</a>.","ieee":"H. Glöckner, “Lie groups of real analytic diffeomorphisms are L^1-regular,” <i>Nonlinear Analysis</i>, vol. 252, Art. no. 113690, 2025, doi: <a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>.","bibtex":"@article{Glöckner_2025, title={Lie groups of real analytic diffeomorphisms are L^1-regular}, volume={252}, DOI={<a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>}, number={113690}, journal={Nonlinear Analysis}, author={Glöckner, Helge}, year={2025} }","mla":"Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.” <i>Nonlinear Analysis</i>, vol. 252, 113690, 2025, doi:<a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>.","short":"H. Glöckner, Nonlinear Analysis 252 (2025).","apa":"Glöckner, H. (2025). Lie groups of real analytic diffeomorphisms are L^1-regular. <i>Nonlinear Analysis</i>, <i>252</i>, Article 113690. <a href=\"https://doi.org/10.1016/j.na.2024.113690\">https://doi.org/10.1016/j.na.2024.113690</a>"},"quality_controlled":"1"},{"author":[{"first_name":"Sebastian","last_name":"Bischof","full_name":"Bischof, Sebastian","id":"106729"},{"first_name":"Timothée","last_name":"Marquis","full_name":"Marquis, Timothée"}],"date_created":"2026-01-12T14:12:09Z","date_updated":"2026-01-12T14:33:08Z","title":"Describing the nub in maximal Kac-Moody groups","citation":{"chicago":"Bischof, Sebastian, and Timothée Marquis. “Describing the Nub in Maximal Kac-Moody Groups,” 2025.","ieee":"S. Bischof and T. Marquis, “Describing the nub in maximal Kac-Moody groups.” 2025.","ama":"Bischof S, Marquis T. Describing the nub in maximal Kac-Moody groups. Published online 2025.","apa":"Bischof, S., &#38; Marquis, T. (2025). <i>Describing the nub in maximal Kac-Moody groups</i>.","short":"S. Bischof, T. Marquis, (2025).","bibtex":"@article{Bischof_Marquis_2025, title={Describing the nub in maximal Kac-Moody groups}, author={Bischof, Sebastian and Marquis, Timothée}, year={2025} }","mla":"Bischof, Sebastian, and Timothée Marquis. <i>Describing the Nub in Maximal Kac-Moody Groups</i>. 2025."},"year":"2025","user_id":"106729","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"_id":"63569","external_id":{"arxiv":["arXiv:2508.15506"]},"language":[{"iso":"eng"}],"type":"preprint","status":"public","abstract":[{"lang":"eng","text":"Let $G$ be a totally disconnected locally compact (tdlc) group. The contraction group $\\mathrm{con}(g)$ of an element $g\\in G$ is the set of all $h\\in G$ such that $g^n h g^{-n} \\to 1_G$ as $n \\to \\infty$. The nub of $g$ can then be characterized as the intersection $\\mathrm{nub}(g)$ of the closures of $\\mathrm{con}(g)$ and $\\mathrm{con}(g^{-1})$.\r\n Contraction groups and nubs provide important tools in the study of the structure of tdlc groups, as already evidenced in the work of G. Willis. It is known that $\\mathrm{nub}(g) = \\{1\\}$ if and only if $\\mathrm{con}(g)$ is closed. In general, contraction groups are not closed and computing the nub is typically a challenging problem.\r\n Maximal Kac-Moody groups over finite fields form a prominent family of non-discrete compactly generated simple tdlc groups. In this paper we give a complete description of the nub of any element in these groups."}]},{"date_updated":"2026-01-12T14:32:33Z","date_created":"2026-01-12T14:11:47Z","author":[{"last_name":"Bischof","id":"106729","full_name":"Bischof, Sebastian","first_name":"Sebastian"}],"title":"On flat groups in affine buildings","year":"2025","citation":{"apa":"Bischof, S. (2025). <i>On flat groups in affine buildings</i>.","bibtex":"@article{Bischof_2025, title={On flat groups in affine buildings}, author={Bischof, Sebastian}, year={2025} }","short":"S. Bischof, (2025).","mla":"Bischof, Sebastian. <i>On Flat Groups in Affine Buildings</i>. 2025.","ama":"Bischof S. On flat groups in affine buildings. Published online 2025.","ieee":"S. Bischof, “On flat groups in affine buildings.” 2025.","chicago":"Bischof, Sebastian. “On Flat Groups in Affine Buildings,” 2025."},"_id":"63568","external_id":{"arxiv":["arXiv:2512.16548"]},"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"106729","language":[{"iso":"eng"}],"type":"preprint","abstract":[{"text":"In this article we work out the details of flat groups of the automorphism group of locally finite Bruhat-Tits buildings.","lang":"eng"}],"status":"public"},{"type":"preprint","status":"public","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","_id":"56114","external_id":{"arxiv":["2409.06512"]},"language":[{"iso":"eng"}],"citation":{"chicago":"Pinaud, Matthieu. “Manifolds of Absolutely Continuous Functions with Values in an Infinite-Dimensional Manifold and Regularity Properties of Half-Lie Groups,” 2024.","ieee":"M. Pinaud, “Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups.” 2024.","ama":"Pinaud M. Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups. Published online 2024.","apa":"Pinaud, M. (2024). <i>Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups</i>.","short":"M. Pinaud, (2024).","mla":"Pinaud, Matthieu. <i>Manifolds of Absolutely Continuous Functions with Values in an Infinite-Dimensional Manifold and Regularity Properties of Half-Lie Groups</i>. 2024.","bibtex":"@article{Pinaud_2024, title={Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups}, author={Pinaud, Matthieu}, year={2024} }"},"year":"2024","date_created":"2024-09-11T22:40:37Z","author":[{"first_name":"Matthieu","last_name":"Pinaud","full_name":"Pinaud, Matthieu"}],"date_updated":"2024-09-11T22:45:02Z","title":"Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups"},{"title":"Boundary values of diffeomorphisms of simple polytopes, and controllability","date_updated":"2024-09-11T22:51:26Z","date_created":"2024-09-11T22:50:56Z","author":[{"last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178","first_name":"Helge"},{"first_name":"Erlend","last_name":"Grong","full_name":"Grong, Erlend"},{"full_name":"Schmeding, Alexander","last_name":"Schmeding","first_name":"Alexander"}],"year":"2024","citation":{"chicago":"Glöckner, Helge, Erlend Grong, and Alexander Schmeding. “Boundary Values of Diffeomorphisms of Simple Polytopes, and Controllability,” 2024.","ieee":"H. Glöckner, E. Grong, and A. Schmeding, “Boundary values of diffeomorphisms of simple polytopes, and controllability.” 2024.","ama":"Glöckner H, Grong E, Schmeding A. Boundary values of diffeomorphisms of simple polytopes, and controllability. Published online 2024.","apa":"Glöckner, H., Grong, E., &#38; Schmeding, A. (2024). <i>Boundary values of diffeomorphisms of simple polytopes, and controllability</i>.","mla":"Glöckner, Helge, et al. <i>Boundary Values of Diffeomorphisms of Simple Polytopes, and Controllability</i>. 2024.","short":"H. Glöckner, E. Grong, A. Schmeding, (2024).","bibtex":"@article{Glöckner_Grong_Schmeding_2024, title={Boundary values of diffeomorphisms of simple polytopes, and controllability}, author={Glöckner, Helge and Grong, Erlend and Schmeding, Alexander}, year={2024} }"},"language":[{"iso":"eng"}],"external_id":{"arxiv":["2407.05444"]},"_id":"56116","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","status":"public","type":"preprint"},{"title":"Curvature and stability of quasi-geostrophic motion","main_file_link":[{"url":"https://doi.org/10.1016/j.geomphys.2024.105109"}],"date_updated":"2024-10-10T16:00:50Z","volume":198,"date_created":"2024-10-10T15:59:49Z","author":[{"full_name":"Suri, Ali","last_name":"Suri","first_name":"Ali"}],"year":"2024","page":"105109","intvolume":"       198","citation":{"bibtex":"@article{Suri_2024, title={Curvature and stability of quasi-geostrophic motion}, volume={198}, journal={Journal of Geometry and Physics}, author={Suri, Ali}, year={2024}, pages={105109} }","mla":"Suri, Ali. “Curvature and Stability of Quasi-Geostrophic Motion.” <i>Journal of Geometry and Physics</i>, vol. 198, 2024, p. 105109.","short":"A. Suri, Journal of Geometry and Physics 198 (2024) 105109.","apa":"Suri, A. (2024). Curvature and stability of quasi-geostrophic motion. <i>Journal of Geometry and Physics</i>, <i>198</i>, 105109.","ieee":"A. Suri, “Curvature and stability of quasi-geostrophic motion,” <i>Journal of Geometry and Physics</i>, vol. 198, p. 105109, 2024.","chicago":"Suri, Ali. “Curvature and Stability of Quasi-Geostrophic Motion.” <i>Journal of Geometry and Physics</i> 198 (2024): 105109.","ama":"Suri A. Curvature and stability of quasi-geostrophic motion. <i>Journal of Geometry and Physics</i>. 2024;198:105109."},"quality_controlled":"1","language":[{"iso":"eng"}],"_id":"56584","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","status":"public","publication":"Journal of Geometry and Physics","type":"journal_article"},{"quality_controlled":"1","citation":{"apa":"Suri, A. (2024). Conjugate points along spherical harmonics. <i>Journal of Geometry and Physics</i>, <i>206</i>, 105333.","bibtex":"@article{Suri_2024, title={Conjugate points along spherical harmonics}, volume={206}, journal={Journal of Geometry and Physics}, author={Suri, Ali}, year={2024}, pages={105333} }","short":"A. Suri, Journal of Geometry and Physics 206 (2024) 105333.","mla":"Suri, Ali. “Conjugate Points along Spherical Harmonics.” <i>Journal of Geometry and Physics</i>, vol. 206, 2024, p. 105333.","chicago":"Suri, Ali. “Conjugate Points along Spherical Harmonics.” <i>Journal of Geometry and Physics</i> 206 (2024): 105333.","ieee":"A. Suri, “Conjugate points along spherical harmonics,” <i>Journal of Geometry and Physics</i>, vol. 206, p. 105333, 2024.","ama":"Suri A. Conjugate points along spherical harmonics. <i>Journal of Geometry and Physics</i>. 2024;206:105333."},"page":"105333","intvolume":"       206","year":"2024","author":[{"last_name":"Suri","full_name":"Suri, Ali","first_name":"Ali"}],"date_created":"2024-10-10T16:05:18Z","volume":206,"date_updated":"2024-10-10T16:05:47Z","main_file_link":[{"url":"https://doi.org/10.1016/j.geomphys.2024.105333"}],"title":"Conjugate points along spherical harmonics","type":"journal_article","publication":"Journal of Geometry and Physics","status":"public","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"_id":"56585","language":[{"iso":"eng"}]},{"type":"preprint","status":"public","_id":"56583","external_id":{"arxiv":["2410.02909"]},"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","language":[{"iso":"eng"}],"year":"2024","citation":{"apa":"Glöckner, H., &#38; Suri, A. (2024). <i>L^1-regularity of strong ILB-Lie groups</i>.","short":"H. Glöckner, A. Suri, (2024).","bibtex":"@article{Glöckner_Suri_2024, title={L^1-regularity of strong ILB-Lie groups}, author={Glöckner, Helge and Suri, Ali}, year={2024} }","mla":"Glöckner, Helge, and Ali Suri. <i>L^1-Regularity of Strong ILB-Lie Groups</i>. 2024.","ieee":"H. Glöckner and A. Suri, “L^1-regularity of strong ILB-Lie groups.” 2024.","chicago":"Glöckner, Helge, and Ali Suri. “L^1-Regularity of Strong ILB-Lie Groups,” 2024.","ama":"Glöckner H, Suri A. L^1-regularity of strong ILB-Lie groups. Published online 2024."},"date_updated":"2024-10-10T15:51:43Z","author":[{"first_name":"Helge","id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner"},{"last_name":"Suri","full_name":"Suri, Ali","first_name":"Ali"}],"date_created":"2024-10-10T15:49:15Z","title":"L^1-regularity of strong ILB-Lie groups"}]
