From conjugacy classes in the weyl group to unipotent classes, III
Let G be an affine algebraic group over an algebraically closed field whose identity component G[superscript 0] is reductive. Let W be the Weyl group of G and let D be a connected component of G whose image in [G over G[superscript 0]] is unipotent. In this paper we define a map from the set of “twi...
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| Format: | Article |
| Language: | en_US |
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American Mathematical Society (AMS)
2015
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| Online Access: | http://hdl.handle.net/1721.1/93080 https://orcid.org/0000-0001-9414-6892 |
| _version_ | 1811080461038911488 |
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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 an affine algebraic group over an algebraically closed field whose identity component G[superscript 0] is reductive. Let W be the Weyl group of G and let D be a connected component of G whose image in [G over G[superscript 0]] is unipotent. In this paper we define a map from the set of “twisted conjugacy classes” in W to the set of unipotent G[superscript 0]-conjugacy classes in D generalizing an earlier construction which applied when G is connected. |
| first_indexed | 2024-09-23T11:32:03Z |
| format | Article |
| id | mit-1721.1/93080 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:32:03Z |
| publishDate | 2015 |
| publisher | American Mathematical Society (AMS) |
| record_format | dspace |
| spelling | mit-1721.1/930802022-09-27T20:08:09Z From conjugacy classes in the weyl group to unipotent classes, III Lusztig, George Massachusetts Institute of Technology. Department of Mathematics Lusztig, George Let G be an affine algebraic group over an algebraically closed field whose identity component G[superscript 0] is reductive. Let W be the Weyl group of G and let D be a connected component of G whose image in [G over G[superscript 0]] is unipotent. In this paper we define a map from the set of “twisted conjugacy classes” in W to the set of unipotent G[superscript 0]-conjugacy classes in D generalizing an earlier construction which applied when G is connected. National Science Foundation (U.S.) 2015-01-20T18:58:54Z 2015-01-20T18:58:54Z 2012-09 2012-05 Article http://purl.org/eprint/type/JournalArticle 1088-4165 http://hdl.handle.net/1721.1/93080 Lusztig, G. “From Conjugacy Classes in the Weyl Group to Unipotent Classes, III.” Representation Theory 16 (2012): 450–488. © 2012 American Mathematical Society https://orcid.org/0000-0001-9414-6892 en_US http://www.ams.org/journals/ert/2012-16-12/S1088-4165-2012-00422-8/S1088-4165-2012-00422-8.pdf 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 From conjugacy classes in the weyl group to unipotent classes, III |
| title | From conjugacy classes in the weyl group to unipotent classes, III |
| title_full | From conjugacy classes in the weyl group to unipotent classes, III |
| title_fullStr | From conjugacy classes in the weyl group to unipotent classes, III |
| title_full_unstemmed | From conjugacy classes in the weyl group to unipotent classes, III |
| title_short | From conjugacy classes in the weyl group to unipotent classes, III |
| title_sort | from conjugacy classes in the weyl group to unipotent classes iii |
| url | http://hdl.handle.net/1721.1/93080 https://orcid.org/0000-0001-9414-6892 |
| work_keys_str_mv | AT lusztiggeorge fromconjugacyclassesintheweylgrouptounipotentclassesiii |