Non-Unipotent Representations and Categorical Centers
Let G be a connected reductive group defined over a finite field F[subscript q]. We give a parametrization of the irreducible representations of G(Fq) in terms of (twisted) categorical centres of various monoidal categories associated to G. Results of this type were known earlier for unipotent r...
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Institute of Mathematics, Academia Sinica
2018
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| Online Access: | http://hdl.handle.net/1721.1/115947 https://orcid.org/0000-0001-9414-6892 |
| _version_ | 1811087694809268224 |
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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 defined over a finite field F[subscript q]. We give a
parametrization of the irreducible representations of G(Fq) in terms of (twisted) categorical
centres of various monoidal categories associated to G. Results of this type were known
earlier for unipotent representations and also for character sheaves |
| first_indexed | 2024-09-23T13:50:32Z |
| format | Article |
| id | mit-1721.1/115947 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T13:50:32Z |
| publishDate | 2018 |
| publisher | Institute of Mathematics, Academia Sinica |
| record_format | dspace |
| spelling | mit-1721.1/1159472022-10-01T17:28:16Z Non-Unipotent Representations and Categorical Centers Lusztig, George Massachusetts Institute of Technology. Department of Mathematics Lusztig, George Reductive group, flag manifold, irred ucible representation, categorical centre Let G be a connected reductive group defined over a finite field F[subscript q]. We give a parametrization of the irreducible representations of G(Fq) in terms of (twisted) categorical centres of various monoidal categories associated to G. Results of this type were known earlier for unipotent representations and also for character sheaves National Science Foundation (U.S.) (grant DMS-1566618) 2018-05-29T18:43:25Z 2018-05-29T18:43:25Z 2017-03 2017-07 2018-05-24T17:22:40Z Article http://purl.org/eprint/type/JournalArticle 2304-7909 http://hdl.handle.net/1721.1/115947 Lusztig, George. “Non-Unipotent Representations and Categorical Centers.” Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES 12, no. 3 (September 1, 2017). https://orcid.org/0000-0001-9414-6892 http://dx.doi.org/10.21915/BIMAS.2017301 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 | Reductive group, flag manifold, irred ucible representation, categorical centre Lusztig, George Non-Unipotent Representations and Categorical Centers |
| title | Non-Unipotent Representations and Categorical Centers |
| title_full | Non-Unipotent Representations and Categorical Centers |
| title_fullStr | Non-Unipotent Representations and Categorical Centers |
| title_full_unstemmed | Non-Unipotent Representations and Categorical Centers |
| title_short | Non-Unipotent Representations and Categorical Centers |
| title_sort | non unipotent representations and categorical centers |
| topic | Reductive group, flag manifold, irred ucible representation, categorical centre |
| url | http://hdl.handle.net/1721.1/115947 https://orcid.org/0000-0001-9414-6892 |
| work_keys_str_mv | AT lusztiggeorge nonunipotentrepresentationsandcategoricalcenters |