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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.

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Irreducible Specht modules for Iwahori–Hecke algebras of type $B$
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by Matthew Fayers PDF
Represent. Theory 16 (2012), 108-126 Request permission

Abstract:

We consider the problem of classifying irreducible Specht modules for the Iwahori–Hecke algebra of type $B$ with parameters $Q,q$. We solve this problem completely in the case where $q$ is not a root of unity, and in the case $q=-1$ we reduce the problem to the corresponding problem in type $A$.
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Additional Information
  • Matthew Fayers
  • Affiliation: Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom
  • Email: m.fayers@qmul.ac.uk
  • Received by editor(s): February 21, 2011
  • Published electronically: February 6, 2012
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 16 (2012), 108-126
  • MSC (2010): Primary 20C08, 05E10
  • DOI: https://doi.org/10.1090/S1088-4165-2012-00412-5
  • MathSciNet review: 2888172