Unipotent representations as a categorical centre
Let G(F[subscript q]) be the group of rational points of a split connected reductive group G over the finite field F[subscript q]. In this paper we show that the category of representations of G(F[subscript q]) which are finite direct sums of unipotent representations in a fixed two-sided cell is eq...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
American Mathematical Society (AMS)
2016
|
| Online Access: | http://hdl.handle.net/1721.1/105153 https://orcid.org/0000-0001-9414-6892 |
| _version_ | 1811093342187945984 |
|---|---|
| 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(F[subscript q]) be the group of rational points of a split connected reductive group G over the finite field F[subscript q]. In this paper we show that the category of representations of G(F[subscript q]) which are finite direct sums of unipotent representations in a fixed two-sided cell is equivalent to the centre of a certain monoidal category of sheaves on the flag manifold of G x G. We also consider a version of this for nonsplit groups. |
| first_indexed | 2024-09-23T15:43:43Z |
| format | Article |
| id | mit-1721.1/105153 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:43:43Z |
| publishDate | 2016 |
| publisher | American Mathematical Society (AMS) |
| record_format | dspace |
| spelling | mit-1721.1/1051532022-09-29T15:46:28Z Unipotent representations as a categorical centre Lusztig, George Massachusetts Institute of Technology. Department of Mathematics Lusztig, George Let G(F[subscript q]) be the group of rational points of a split connected reductive group G over the finite field F[subscript q]. In this paper we show that the category of representations of G(F[subscript q]) which are finite direct sums of unipotent representations in a fixed two-sided cell is equivalent to the centre of a certain monoidal category of sheaves on the flag manifold of G x G. We also consider a version of this for nonsplit groups. National Science Foundation (U.S.) (Grant 1303060) 2016-10-28T21:43:47Z 2016-10-28T21:43:47Z 2015-10 2015-08 Article http://purl.org/eprint/type/JournalArticle 1088-4165 http://hdl.handle.net/1721.1/105153 Lusztig, G. “Unipotent Representations as a Categorical Centre.” Representation Theory of the American Mathematical Society 19.9 (2015): 211–235. © 2015 American Mathematical Society https://orcid.org/0000-0001-9414-6892 en_US http://dx.doi.org/10.1090/ert/468 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 Unipotent representations as a categorical centre |
| title | Unipotent representations as a categorical centre |
| title_full | Unipotent representations as a categorical centre |
| title_fullStr | Unipotent representations as a categorical centre |
| title_full_unstemmed | Unipotent representations as a categorical centre |
| title_short | Unipotent representations as a categorical centre |
| title_sort | unipotent representations as a categorical centre |
| url | http://hdl.handle.net/1721.1/105153 https://orcid.org/0000-0001-9414-6892 |
| work_keys_str_mv | AT lusztiggeorge unipotentrepresentationsasacategoricalcentre |