[{"publication":"arXiv:2512.01729","type":"preprint","abstract":[{"lang":"eng","text":"We introduce a new class of reflection groups associated with the canonical bilinear lattices of Lenzing, which we call reflection groups of canonical type. The main result of this work is a categorification of the corresponding poset of non-crossing partitions for any such group, realized via the poset of thick subcategories of the category of coherent sheaves on an exceptional hereditary curve generated by an exceptional sequence. A second principal result, essential for the categorification, is a proof of the transitivity of the Hurwitz action in these reflection groups."}],"status":"public","external_id":{"arxiv":["2512.01729"]},"_id":"63620","user_id":"103440","language":[{"iso":"eng"}],"year":"2025","citation":{"apa":"Baumeister, B., Burban, I., Neaime, G., &#38; Schwabe, C. M. (2025). Non-crossing partitions for exceptional hereditary curves. In <i>arXiv:2512.01729</i>.","short":"B. Baumeister, I. Burban, G. Neaime, C.M. Schwabe, ArXiv:2512.01729 (2025).","bibtex":"@article{Baumeister_Burban_Neaime_Schwabe_2025, title={Non-crossing partitions for exceptional hereditary curves}, journal={arXiv:2512.01729}, author={Baumeister, Barbara and Burban, Igor and Neaime, Georges and Schwabe, Charly Merlin}, year={2025} }","mla":"Baumeister, Barbara, et al. “Non-Crossing Partitions for Exceptional Hereditary Curves.” <i>ArXiv:2512.01729</i>, 2025.","ieee":"B. Baumeister, I. Burban, G. Neaime, and C. M. Schwabe, “Non-crossing partitions for exceptional hereditary curves,” <i>arXiv:2512.01729</i>. 2025.","chicago":"Baumeister, Barbara, Igor Burban, Georges Neaime, and Charly Merlin Schwabe. “Non-Crossing Partitions for Exceptional Hereditary Curves.” <i>ArXiv:2512.01729</i>, 2025.","ama":"Baumeister B, Burban I, Neaime G, Schwabe CM. Non-crossing partitions for exceptional hereditary curves. <i>arXiv:251201729</i>. Published online 2025."},"date_updated":"2026-01-16T09:09:17Z","date_created":"2026-01-15T09:37:34Z","author":[{"first_name":"Barbara","full_name":"Baumeister, Barbara","last_name":"Baumeister"},{"first_name":"Igor","id":"72064","full_name":"Burban, Igor","last_name":"Burban"},{"full_name":"Neaime, Georges","last_name":"Neaime","first_name":"Georges"},{"first_name":"Charly Merlin","last_name":"Schwabe","id":"103440","full_name":"Schwabe, Charly Merlin"}],"title":"Non-crossing partitions for exceptional hereditary curves"},{"publication_status":"published","citation":{"chicago":"Burban, Igor, C. Alfes-Neumann, and M. Raum. “A Classification of Polyharmonic Maa Forms via Quiver Representations,” 2022.","ieee":"I. Burban, C. Alfes-Neumann, and M. Raum, “A classification of polyharmonic Maa forms via quiver representations.” 2022.","ama":"Burban I, Alfes-Neumann C, Raum M. A classification of polyharmonic Maa forms via quiver representations. Published online 2022.","apa":"Burban, I., Alfes-Neumann, C., &#38; Raum, M. (2022). <i>A classification of polyharmonic Maa forms via quiver representations</i>.","short":"I. Burban, C. Alfes-Neumann, M. Raum, (2022).","mla":"Burban, Igor, et al. <i>A Classification of Polyharmonic Maa Forms via Quiver Representations</i>. 2022.","bibtex":"@article{Burban_Alfes-Neumann_Raum_2022, title={A classification of polyharmonic Maa forms via quiver representations}, author={Burban, Igor and Alfes-Neumann, C. and Raum, M.}, year={2022} }"},"year":"2022","date_created":"2023-05-07T00:54:50Z","author":[{"id":"72064","full_name":"Burban, Igor","last_name":"Burban","first_name":"Igor"},{"first_name":"C.","full_name":"Alfes-Neumann, C.","last_name":"Alfes-Neumann"},{"first_name":"M.","full_name":"Raum, M.","last_name":"Raum"}],"date_updated":"2023-05-07T01:37:00Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2207.02278"}],"title":"A classification of polyharmonic Maa forms via quiver representations","type":"preprint","status":"public","user_id":"49063","department":[{"_id":"602"}],"_id":"44537","language":[{"iso":"eng"}]},{"date_created":"2023-05-07T00:56:31Z","author":[{"first_name":"Igor","last_name":"Burban","id":"72064","full_name":"Burban, Igor"},{"full_name":"Drozd, Yu.","last_name":"Drozd","first_name":"Yu."}],"date_updated":"2023-05-07T01:36:42Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1805.05174"}],"title":"Non-commutative nodal curves and derived tame algebras","publication_status":"published","citation":{"mla":"Burban, Igor, and Yu. Drozd. <i>Non-Commutative Nodal Curves and Derived Tame Algebras</i>. 2018.","short":"I. Burban, Yu. Drozd, (2018).","bibtex":"@article{Burban_Drozd_2018, title={Non-commutative nodal curves and derived tame algebras}, author={Burban, Igor and Drozd, Yu.}, year={2018} }","apa":"Burban, I., &#38; Drozd, Yu. (2018). <i>Non-commutative nodal curves and derived tame algebras</i>.","chicago":"Burban, Igor, and Yu. Drozd. “Non-Commutative Nodal Curves and Derived Tame Algebras,” 2018.","ieee":"I. Burban and Yu. Drozd, “Non-commutative nodal curves and derived tame algebras.” 2018.","ama":"Burban I, Drozd Yu. Non-commutative nodal curves and derived tame algebras. Published online 2018."},"year":"2018","department":[{"_id":"602"}],"user_id":"49063","_id":"44538","language":[{"iso":"eng"}],"type":"preprint","status":"public"},{"extern":"1","language":[{"iso":"eng"}],"user_id":"49063","department":[{"_id":"602"}],"_id":"44539","status":"public","type":"preprint","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1706.08358"}],"title":"On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems","author":[{"first_name":"Igor","last_name":"Burban","full_name":"Burban, Igor","id":"72064"},{"last_name":"Drozd","full_name":"Drozd, Yu.","first_name":"Yu."}],"date_created":"2023-05-07T00:57:34Z","date_updated":"2023-05-07T01:36:54Z","citation":{"apa":"Burban, I., &#38; Drozd, Yu. (2017). <i>On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems</i>.","bibtex":"@article{Burban_Drozd_2017, title={On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems}, author={Burban, Igor and Drozd, Yu.}, year={2017} }","short":"I. Burban, Yu. Drozd, (2017).","mla":"Burban, Igor, and Yu. Drozd. <i>On the Derived Categories of Gentle and Skew-Gentle Algebras: Homological Algebra and Matrix Problems</i>. 2017.","ama":"Burban I, Drozd Yu. On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems. Published online 2017.","ieee":"I. Burban and Yu. Drozd, “On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems.” 2017.","chicago":"Burban, Igor, and Yu. Drozd. “On the Derived Categories of Gentle and Skew-Gentle Algebras: Homological Algebra and Matrix Problems,” 2017."},"year":"2017","publication_status":"published"}]