Elliptic Weyl Group Elements and Unipotent Isometries with P = 2
Let G be a classical group over an algebraically closed field of characteristic 2 and let C be an elliptic conjugacy class in the Weyl group. In a previous paper the first named author associated to C a unipotent conjugacy class Φ(C) of G. In this paper we show that Φ(C) can be characterized in term...
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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/1721.1/93078 https://orcid.org/0000-0001-9414-6892 |
| _version_ | 1811068232758460416 |
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| author | Lusztig, George Xue, Ting |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Lusztig, George Xue, Ting |
| author_sort | Lusztig, George |
| collection | MIT |
| description | Let G be a classical group over an algebraically closed field of characteristic 2 and let C be an elliptic conjugacy class in the Weyl group. In a previous paper the first named author associated to C a unipotent conjugacy class Φ(C) of G. In this paper we show that Φ(C) can be characterized in terms of the closure relations between unipotent classes. Previously, the
analogous result was known in odd characteristic and for exceptional groups in any characteristic. |
| first_indexed | 2024-09-23T07:53:19Z |
| format | Article |
| id | mit-1721.1/93078 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T07:53:19Z |
| publishDate | 2015 |
| publisher | American Mathematical Society (AMS) |
| record_format | dspace |
| spelling | mit-1721.1/930782022-09-30T00:46:20Z Elliptic Weyl Group Elements and Unipotent Isometries with P = 2 Lusztig, George Xue, Ting Massachusetts Institute of Technology. Department of Mathematics Lusztig, George Let G be a classical group over an algebraically closed field of characteristic 2 and let C be an elliptic conjugacy class in the Weyl group. In a previous paper the first named author associated to C a unipotent conjugacy class Φ(C) of G. In this paper we show that Φ(C) can be characterized in terms of the closure relations between unipotent classes. Previously, the analogous result was known in odd characteristic and for exceptional groups in any characteristic. National Science Foundation (U.S.) 2015-01-20T18:51:04Z 2015-01-20T18:51:04Z 2012-05 2011-11 Article http://purl.org/eprint/type/JournalArticle 1088-4165 http://hdl.handle.net/1721.1/93078 Lusztig, George and Xue, Ting. “Elliptic Weyl Group Elements and Unipotent Isometries with P = 2.” Representation Theory 16 (2012): 270–275. © 2012 American Mathematical Society https://orcid.org/0000-0001-9414-6892 en_US http://www.ams.org/journals/ert/2012-16-08/S1088-4165-2012-00415-0/S1088-4165-2012-00415-0.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 Xue, Ting Elliptic Weyl Group Elements and Unipotent Isometries with P = 2 |
| title | Elliptic Weyl Group Elements and Unipotent Isometries with P = 2 |
| title_full | Elliptic Weyl Group Elements and Unipotent Isometries with P = 2 |
| title_fullStr | Elliptic Weyl Group Elements and Unipotent Isometries with P = 2 |
| title_full_unstemmed | Elliptic Weyl Group Elements and Unipotent Isometries with P = 2 |
| title_short | Elliptic Weyl Group Elements and Unipotent Isometries with P = 2 |
| title_sort | elliptic weyl group elements and unipotent isometries with p 2 |
| url | http://hdl.handle.net/1721.1/93078 https://orcid.org/0000-0001-9414-6892 |
| work_keys_str_mv | AT lusztiggeorge ellipticweylgroupelementsandunipotentisometrieswithp2 AT xueting ellipticweylgroupelementsandunipotentisometrieswithp2 |