On C-small conjugacy classes in a reductive group

Dedicated to Tonny Springer on the occasion of his 85th birthday

Bibliographic Details
Main Author: Lusztig, George
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Birkhauser Boston 2012
Online Access:http://hdl.handle.net/1721.1/70921
https://orcid.org/0000-0001-9414-6892
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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
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spelling mit-1721.1/709212022-09-28T11:06:55Z On C-small conjugacy classes in a reductive group Lusztig, George Massachusetts Institute of Technology. Department of Mathematics Lusztig, George Lusztig, George Dedicated to Tonny Springer on the occasion of his 85th birthday Let G be an almost simple reductive group with Weyl group W. Let B be a Borel subgroup of G. Let w be an elliptic element of W which has minimal length in its conjugacy class. We show that in almost all cases there exists a semisimple class in G whose intersection with BwB has dimension dim(B). National Science Foundation (U.S.) 2012-05-24T15:11:41Z 2012-05-24T15:11:41Z 2011-06 2010-12 Article http://purl.org/eprint/type/JournalArticle 1083-4362 1531-586X http://hdl.handle.net/1721.1/70921 Lusztig, G. “On C-small Conjugacy Classes in a Reductive Group.” Transformation Groups 16.3 (2011): 807–825. Web. https://orcid.org/0000-0001-9414-6892 en_US http://dx.doi.org/10.1007/s00031-011-9145-6 Transformation Groups Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Birkhauser Boston arXiv
spellingShingle Lusztig, George
On C-small conjugacy classes in a reductive group
title On C-small conjugacy classes in a reductive group
title_full On C-small conjugacy classes in a reductive group
title_fullStr On C-small conjugacy classes in a reductive group
title_full_unstemmed On C-small conjugacy classes in a reductive group
title_short On C-small conjugacy classes in a reductive group
title_sort on c small conjugacy classes in a reductive group
url http://hdl.handle.net/1721.1/70921
https://orcid.org/0000-0001-9414-6892
work_keys_str_mv AT lusztiggeorge oncsmallconjugacyclassesinareductivegroup