Conjugacy Classes in Reductive Groups and Two-sided Cells
Let G′ be a connected reductive group over the complex numbers. We show that the set of conjugacy classes of elements of G′ with semisimple part of finite order is in natural bijection with the set of two-sided cells associated to a certain algebra.
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| Format: | Article |
| Language: | English |
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Institute of Mathematics, Academia Sinica
2020
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| Online Access: | https://hdl.handle.net/1721.1/125508 |
| _version_ | 1811096196720099328 |
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| author | Lusztig, George |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Lusztig, George |
| author_sort | Lusztig, George |
| collection | MIT |
| description | Let G′ be a connected reductive group over the complex numbers. We show that the set of conjugacy classes of elements of G′ with semisimple part of finite order is in natural bijection with the set of two-sided cells associated to a certain algebra. |
| first_indexed | 2024-09-23T16:39:26Z |
| format | Article |
| id | mit-1721.1/125508 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:39:26Z |
| publishDate | 2020 |
| publisher | Institute of Mathematics, Academia Sinica |
| record_format | dspace |
| spelling | mit-1721.1/1255082022-09-29T20:38:26Z Conjugacy Classes in Reductive Groups and Two-sided Cells Lusztig, George Massachusetts Institute of Technology. Department of Mathematics Let G′ be a connected reductive group over the complex numbers. We show that the set of conjugacy classes of elements of G′ with semisimple part of finite order is in natural bijection with the set of two-sided cells associated to a certain algebra. National Science Foundation (U.S.) (Grant DMS-1566618) 2020-05-27T17:29:10Z 2020-05-27T17:29:10Z 2018-02 2020-04-03T15:31:59Z Article http://purl.org/eprint/type/JournalArticle 2304-7909 2304-7895 https://hdl.handle.net/1721.1/125508 Lusztig, G.“Conjugacy Classes in Reductive Groups and Two-sided Cells.” Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES 14 (2019): 265-293 © 2019 The Author en https://dx.doi.org/10.21915/BIMAS.2019301 Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Mathematics, Academia Sinica arXiv |
| spellingShingle | Lusztig, George Conjugacy Classes in Reductive Groups and Two-sided Cells |
| title | Conjugacy Classes in Reductive Groups and Two-sided Cells |
| title_full | Conjugacy Classes in Reductive Groups and Two-sided Cells |
| title_fullStr | Conjugacy Classes in Reductive Groups and Two-sided Cells |
| title_full_unstemmed | Conjugacy Classes in Reductive Groups and Two-sided Cells |
| title_short | Conjugacy Classes in Reductive Groups and Two-sided Cells |
| title_sort | conjugacy classes in reductive groups and two sided cells |
| url | https://hdl.handle.net/1721.1/125508 |
| work_keys_str_mv | AT lusztiggeorge conjugacyclassesinreductivegroupsandtwosidedcells |