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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.


Lifting involutions in a Weyl group to the torus normalizer
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by G. Lusztig
Represent. Theory 22 (2018), 27-44
Published electronically: April 24, 2018


Let $N$ be the normalizer of a maximal torus $T$ in a split reductive group over $F_q$, and let $w$ be an involution in the Weyl group $N/T$. We explicitly construct a lifting $n$ of $w$ in $N$ such that the image of $n$ under the Frobenius map is equal to the inverse of $n$.
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Bibliographic Information
  • G. Lusztig
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Email:
  • Received by editor(s): December 11, 2017
  • Published electronically: April 24, 2018
  • Additional Notes: Supported by NSF grant DMS-1566618.
  • © Copyright 2018 American Mathematical Society
  • Journal: Represent. Theory 22 (2018), 27-44
  • MSC (2010): Primary 20G99
  • DOI:
  • MathSciNet review: 3789878