Multiplicities of Representations in Algebraic Families
In this short notes, we consider multiplicities of representations in general algebraic families, especially the upper semi-continuity of homological multiplicities and the locally constancy of Euler–Poincaré numbers. This generalizes the main result of Aizenbud–Sayag for unramified twisting familie...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-11-01
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| Series: | Comptes Rendus. Mathématique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.623/ |
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| _version_ | 1825206182571147264 |
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| author | Cai, Li Fan, Yangyu |
| author_facet | Cai, Li Fan, Yangyu |
| author_sort | Cai, Li |
| collection | DOAJ |
| description | In this short notes, we consider multiplicities of representations in general algebraic families, especially the upper semi-continuity of homological multiplicities and the locally constancy of Euler–Poincaré numbers. This generalizes the main result of Aizenbud–Sayag for unramified twisting families. |
| format | Article |
| id | doaj-art-bee2889b88cf42518743147d4d6fb1ef |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-bee2889b88cf42518743147d4d6fb1ef2025-02-07T11:23:31ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-11-01362G101097110710.5802/crmath.62310.5802/crmath.623Multiplicities of Representations in Algebraic FamiliesCai, Li0Fan, Yangyu1Academy for Multidisciplinary Studies, Beijing National Center for Applied Mathematics, Capital Normal University, Beijing, 100048, People’s Republic of ChinaSchool of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, ChinaIn this short notes, we consider multiplicities of representations in general algebraic families, especially the upper semi-continuity of homological multiplicities and the locally constancy of Euler–Poincaré numbers. This generalizes the main result of Aizenbud–Sayag for unramified twisting families.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.623/Branching lawsHomological multiplicitiesSpherical varieties |
| spellingShingle | Cai, Li Fan, Yangyu Multiplicities of Representations in Algebraic Families Comptes Rendus. Mathématique Branching laws Homological multiplicities Spherical varieties |
| title | Multiplicities of Representations in Algebraic Families |
| title_full | Multiplicities of Representations in Algebraic Families |
| title_fullStr | Multiplicities of Representations in Algebraic Families |
| title_full_unstemmed | Multiplicities of Representations in Algebraic Families |
| title_short | Multiplicities of Representations in Algebraic Families |
| title_sort | multiplicities of representations in algebraic families |
| topic | Branching laws Homological multiplicities Spherical varieties |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.623/ |
| work_keys_str_mv | AT caili multiplicitiesofrepresentationsinalgebraicfamilies AT fanyangyu multiplicitiesofrepresentationsinalgebraicfamilies |