On the character of certain irreducible modular representations

Let G be an almost simple, simply connected algebraic group over an algebraically closed field of characteristic p > 0. In this paper we restate our conjecture from 1979 on the characters of irreducible modular representations of G so that it is now directly applicable to any dominant highest we...

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Main Author: Lusztig, George
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Mathematical Society (AMS) 2016
Online Access:http://hdl.handle.net/1721.1/105137
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
author_sort Lusztig, George
collection MIT
description Let G be an almost simple, simply connected algebraic group over an algebraically closed field of characteristic p > 0. In this paper we restate our conjecture from 1979 on the characters of irreducible modular representations of G so that it is now directly applicable to any dominant highest weight.
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spelling mit-1721.1/1051372022-09-28T08:45:51Z On the character of certain irreducible modular representations Lusztig, George Massachusetts Institute of Technology. Department of Mathematics Lusztig, George Let G be an almost simple, simply connected algebraic group over an algebraically closed field of characteristic p > 0. In this paper we restate our conjecture from 1979 on the characters of irreducible modular representations of G so that it is now directly applicable to any dominant highest weight. National Science Foundation (U.S.) (Grant DMS-1303060) Simons Foundation (Fellowship) 2016-10-28T17:39:19Z 2016-10-28T17:39:19Z 2015-03 2015-02 Article http://purl.org/eprint/type/JournalArticle 1088-4165 http://hdl.handle.net/1721.1/105137 Lusztig, G. “On the Character of Certain Irreducible Modular Representations.” Representation Theory of the American Mathematical Society 19.2 (2015): 3–8. © 2015 American Mathematical Society https://orcid.org/0000-0001-9414-6892 en_US http://dx.doi.org/10.1090/S1088-4165-2015-00463-7 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
On the character of certain irreducible modular representations
title On the character of certain irreducible modular representations
title_full On the character of certain irreducible modular representations
title_fullStr On the character of certain irreducible modular representations
title_full_unstemmed On the character of certain irreducible modular representations
title_short On the character of certain irreducible modular representations
title_sort on the character of certain irreducible modular representations
url http://hdl.handle.net/1721.1/105137
https://orcid.org/0000-0001-9414-6892
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