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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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.


A topological approach to induction theorems in Springer theory
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by David Treumann PDF
Represent. Theory 13 (2009), 8-18 Request permission


We give a self-contained account of a construction due to Rossmann, which lifts Springer’s action of a Weyl group on the cohomology of a Springer fiber to an action on its homotopy type. We use this construction to produce a generalization of an “induction theorem” of Alvis and Lusztig, which relates the Springer representations attached to a reductive group to those attached to a Levi subgroup. Our generalization applies to more general centralizers and to representations of Weyl groups on mod $p$ cohomology.
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Additional Information
  • David Treumann
  • Affiliation: Department of Mathematics, 127 Vincent Hall, 206 Church St. S.E., Minneapolis, Minnesota 55455
  • Received by editor(s): October 14, 2008
  • Published electronically: February 6, 2009
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 13 (2009), 8-18
  • MSC (2000): Primary 32S30
  • DOI:
  • MathSciNet review: 2480385