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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Elliptic elements in a Weyl group: a homogeneity property
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by G. Lusztig
Represent. Theory 16 (2012), 127-151
Published electronically: February 20, 2012


Let $G$ be a reductive group over an algebraically closed field whose characteristic is not a bad prime for $G$. Let $w$ be an elliptic element of the Weyl group which has minimum length in its conjugacy class. We show that there exists a unique unipotent class $X$ in $G$ such that the following holds: if $V$ is the variety of pairs $(g,B)$ where $g\in X$ and $B$ is a Borel subgroup such that $B,gBg^{-1}$ are in relative position $w$, then $V$ is a homogeneous $G$-space.
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Bibliographic Information
  • G. Lusztig
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Received by editor(s): January 13, 2011
  • Received by editor(s) in revised form: June 17, 2011
  • Published electronically: February 20, 2012
  • Additional Notes: Supported in part by the National Science Foundation
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 16 (2012), 127-151
  • MSC (2010): Primary 20G99
  • DOI:
  • MathSciNet review: 2888173