Non-unipotent Character Sheaves as a Categorical Centre
Let G be a reductive connected group over an algebraic closure of finite field. In this paper we give the classification of character sheaves on G in categorical terms (as a categorical centre). Previously such a classification was known for unipotent character sheaves and in the case where the grou...
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| Format: | Article |
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Institute of Mathematics, Academia Sinica
2018
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| Online Access: | http://hdl.handle.net/1721.1/115953 https://orcid.org/0000-0001-9414-6892 |
| _version_ | 1826215995603156992 |
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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 reductive connected group over an algebraic closure of finite field. In this paper we give the classification of character sheaves on G in categorical terms (as a categorical centre). Previously such a classification was known for unipotent character sheaves and in the case where the ground field is replaced by the complex numbers. KEYWORDS: reductive group, character sheaf, flag manifold, local system |
| first_indexed | 2024-09-23T16:40:43Z |
| format | Article |
| id | mit-1721.1/115953 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T16:40:43Z |
| publishDate | 2018 |
| publisher | Institute of Mathematics, Academia Sinica |
| record_format | dspace |
| spelling | mit-1721.1/1159532022-09-29T20:44:30Z Non-unipotent Character Sheaves as a Categorical Centre Lusztig, George Massachusetts Institute of Technology. Department of Mathematics Lusztig, George Let G be a reductive connected group over an algebraic closure of finite field. In this paper we give the classification of character sheaves on G in categorical terms (as a categorical centre). Previously such a classification was known for unipotent character sheaves and in the case where the ground field is replaced by the complex numbers. KEYWORDS: reductive group, character sheaf, flag manifold, local system National Science Foundation (U.S.) (Grant DMS-1303060) Simons Foundation. Postdoctoral Fellowship 2018-05-29T19:36:39Z 2018-05-29T19:36:39Z 2016-12 2018-05-24T17:28:25Z Article http://purl.org/eprint/type/JournalArticle 2304-7895 2304-7909 http://hdl.handle.net/1721.1/115953 Lusztig, George. “Non-Unipotent Character Sheaves as a Categorical Centre.” Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, vol. 11, no. 4, Dec. 2016. https://orcid.org/0000-0001-9414-6892 http://dx.doi.org/10.21915/BIMAS.2016401 Bulletin of the Institute of Mathematics Academia Sinica 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 Non-unipotent Character Sheaves as a Categorical Centre |
| title | Non-unipotent Character Sheaves as a Categorical Centre |
| title_full | Non-unipotent Character Sheaves as a Categorical Centre |
| title_fullStr | Non-unipotent Character Sheaves as a Categorical Centre |
| title_full_unstemmed | Non-unipotent Character Sheaves as a Categorical Centre |
| title_short | Non-unipotent Character Sheaves as a Categorical Centre |
| title_sort | non unipotent character sheaves as a categorical centre |
| url | http://hdl.handle.net/1721.1/115953 https://orcid.org/0000-0001-9414-6892 |
| work_keys_str_mv | AT lusztiggeorge nonunipotentcharactersheavesasacategoricalcentre |