Remarks on Springer’s representations
We give an explicit description of a set of irreducible representations of aWeyl group which parametrizes the nilpotent orbits in the Lie algebra of a connected reductive group in arbitrary characteristic. We also answer a question of Serre concerning the conjugacy class of a power of a unipotent el...
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| Format: | Article |
| Language: | English |
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American Mathematical Society (AMS)
2020
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| Online Access: | https://hdl.handle.net/1721.1/125901 |
| _version_ | 1826193649220714496 |
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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 | We give an explicit description of a set of irreducible representations of aWeyl group which parametrizes the nilpotent orbits in the Lie algebra of a connected reductive group in arbitrary characteristic. We also answer a question of Serre concerning the conjugacy class of a power of a unipotent element in a connected reductive group. |
| first_indexed | 2024-09-23T09:42:30Z |
| format | Article |
| id | mit-1721.1/125901 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:42:30Z |
| publishDate | 2020 |
| publisher | American Mathematical Society (AMS) |
| record_format | dspace |
| spelling | mit-1721.1/1259012024-06-25T20:57:45Z Remarks on Springer’s representations Lusztig, George Massachusetts Institute of Technology. Department of Mathematics We give an explicit description of a set of irreducible representations of aWeyl group which parametrizes the nilpotent orbits in the Lie algebra of a connected reductive group in arbitrary characteristic. We also answer a question of Serre concerning the conjugacy class of a power of a unipotent element in a connected reductive group. 2020-06-19T20:56:31Z 2020-06-19T20:56:31Z 2009-09 2020-03-30T18:17:28Z Article http://purl.org/eprint/type/JournalArticle 1088-4165 https://hdl.handle.net/1721.1/125901 Lusztig, George, "Remarks on Springer’s representations." Representation Theory 13, 18 (Sept. 2009): p. 391-400 doi 10.1090/S1088-4165-09-00358-6 ©2009 Author(s) en 10.1090/S1088-4165-09-00358-6 Representation Theory Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Mathematical Society (AMS) American Mathematical Society |
| spellingShingle | Lusztig, George Remarks on Springer’s representations |
| title | Remarks on Springer’s representations |
| title_full | Remarks on Springer’s representations |
| title_fullStr | Remarks on Springer’s representations |
| title_full_unstemmed | Remarks on Springer’s representations |
| title_short | Remarks on Springer’s representations |
| title_sort | remarks on springer s representations |
| url | https://hdl.handle.net/1721.1/125901 |
| work_keys_str_mv | AT lusztiggeorge remarksonspringersrepresentations |