{"title":"On the little Weyl group of a real spherical space","doi":"10.1007/s00208-022-02473-x","date_updated":"2026-02-19T13:25:52Z","publisher":"Springer Science and Business Media LLC","volume":387,"author":[{"first_name":"Job J.","full_name":"Kuit, Job J.","last_name":"Kuit"},{"first_name":"Eitan","last_name":"Sayag","full_name":"Sayag, Eitan"}],"date_created":"2026-02-19T13:24:21Z","year":"2022","page":"433-498","intvolume":"       387","citation":{"apa":"Kuit, J. J., &#38; Sayag, E. (2022). On the little Weyl group of a real spherical space. <i>Mathematische Annalen</i>, <i>387</i>(1–2), 433–498. <a href=\"https://doi.org/10.1007/s00208-022-02473-x\">https://doi.org/10.1007/s00208-022-02473-x</a>","short":"J.J. Kuit, E. Sayag, Mathematische Annalen 387 (2022) 433–498.","bibtex":"@article{Kuit_Sayag_2022, title={On the little Weyl group of a real spherical space}, volume={387}, DOI={<a href=\"https://doi.org/10.1007/s00208-022-02473-x\">10.1007/s00208-022-02473-x</a>}, number={1–2}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Kuit, Job J. and Sayag, Eitan}, year={2022}, pages={433–498} }","mla":"Kuit, Job J., and Eitan Sayag. “On the Little Weyl Group of a Real Spherical Space.” <i>Mathematische Annalen</i>, vol. 387, no. 1–2, Springer Science and Business Media LLC, 2022, pp. 433–98, doi:<a href=\"https://doi.org/10.1007/s00208-022-02473-x\">10.1007/s00208-022-02473-x</a>.","ieee":"J. J. Kuit and E. Sayag, “On the little Weyl group of a real spherical space,” <i>Mathematische Annalen</i>, vol. 387, no. 1–2, pp. 433–498, 2022, doi: <a href=\"https://doi.org/10.1007/s00208-022-02473-x\">10.1007/s00208-022-02473-x</a>.","chicago":"Kuit, Job J., and Eitan Sayag. “On the Little Weyl Group of a Real Spherical Space.” <i>Mathematische Annalen</i> 387, no. 1–2 (2022): 433–98. <a href=\"https://doi.org/10.1007/s00208-022-02473-x\">https://doi.org/10.1007/s00208-022-02473-x</a>.","ama":"Kuit JJ, Sayag E. On the little Weyl group of a real spherical space. <i>Mathematische Annalen</i>. 2022;387(1-2):433-498. doi:<a href=\"https://doi.org/10.1007/s00208-022-02473-x\">10.1007/s00208-022-02473-x</a>"},"publication_identifier":{"issn":["0025-5831","1432-1807"]},"publication_status":"published","issue":"1-2","language":[{"iso":"eng"}],"_id":"64272","user_id":"52730","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>In the present paper we further the study of the compression cone of a real spherical homogeneous space <jats:inline-formula><jats:alternatives><jats:tex-math>$$Z=G/H$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>Z</mml:mi>\r\n                    <mml:mo>=</mml:mo>\r\n                    <mml:mi>G</mml:mi>\r\n                    <mml:mo>/</mml:mo>\r\n                    <mml:mi>H</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>. In particular we provide a geometric construction of the little Weyl group of <jats:italic>Z</jats:italic> introduced recently by Knop and Krötz. Our technique is based on a fine analysis of limits of conjugates of the subalgebra <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\mathrm{Lie}(H)$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>Lie</mml:mi>\r\n                    <mml:mo>(</mml:mo>\r\n                    <mml:mi>H</mml:mi>\r\n                    <mml:mo>)</mml:mo>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> along one-parameter subgroups in the Grassmannian of subspaces of <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\mathrm{Lie}(G)$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>Lie</mml:mi>\r\n                    <mml:mo>(</mml:mo>\r\n                    <mml:mi>G</mml:mi>\r\n                    <mml:mo>)</mml:mo>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>. The little Weyl group is obtained as a finite reflection group generated by the reflections in the walls of the compression cone.</jats:p>"}],"status":"public","publication":"Mathematische Annalen","type":"journal_article"}