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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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Hecke-Clifford superalgebras, crystals of type $A_{2\ell }^{(2)}$ and modular branching rules for $\widehat {S}_n$
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by Jonathan Brundan and Alexander Kleshchev PDF
Represent. Theory 5 (2001), 317-403 Request permission

Abstract:

This paper is concerned with the modular representation theory of the affine Hecke-Clifford superalgebra, the cyclotomic Hecke-Clifford superalgebras, and projective representations of the symmetric group. Our approach exploits crystal graphs of affine Kac-Moody algebras.
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Additional Information
  • Jonathan Brundan
  • Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
  • Email: brundan@darkwing.uoregon.edu
  • Alexander Kleshchev
  • Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
  • MR Author ID: 268538
  • Email: klesh@math.uoregon.edu
  • Received by editor(s): March 9, 2001
  • Received by editor(s) in revised form: August 15, 2001
  • Published electronically: October 24, 2001
  • Additional Notes: Both authors were partially supported by the NSF (grant nos DMS-9801442 and DMS-9900134)
  • © Copyright 2001 American Mathematical Society
  • Journal: Represent. Theory 5 (2001), 317-403
  • MSC (2000): Primary 17B67, 20C08, 20C20, 17B10, 17B37
  • DOI: https://doi.org/10.1090/S1088-4165-01-00123-6
  • MathSciNet review: 1870595