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On the character of certain irreducible modular representations


Author: G. Lusztig
Journal: Represent. Theory 19 (2015), 3-8
MSC (2010): Primary 20G99
DOI: https://doi.org/10.1090/S1088-4165-2015-00463-7
Published electronically: March 2, 2015
MathSciNet review: 3316914
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Abstract: 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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Additional Information

G. Lusztig
Affiliation: Department of Mathematics, M.I.T., Cambridge, Massachusetts 02139
Email: gyuri@math.mit.edu

DOI: https://doi.org/10.1090/S1088-4165-2015-00463-7
Received by editor(s): October 7, 2014
Received by editor(s) in revised form: February 2, 2015
Published electronically: March 2, 2015
Additional Notes: This work was supported in part by National Science Foundation grant DMS-1303060 and by a Simons Fellowship.
Article copyright: © Copyright 2015 American Mathematical Society