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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.


Centers of degenerate cyclotomic Hecke algebras and parabolic category $\mathcal O$
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by Jonathan Brundan
Represent. Theory 12 (2008), 236-259
Published electronically: July 29, 2008


We prove that the center of each degenerate cyclotomic Hecke algebra associated to the complex reflection group of type $B_d(l)$ consists of symmetric polynomials in its commuting generators. The classification of the blocks of the degenerate cyclotomic Hecke algebras is an easy consequence. We then apply Schur-Weyl duality for higher levels to deduce analogous results for parabolic category $\mathcal O$ for the Lie algebra $\mathfrak {gl}_n(\mathbb {C})$.
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Bibliographic Information
  • Jonathan Brundan
  • Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
  • Email:
  • Received by editor(s): August 15, 2006
  • Received by editor(s) in revised form: June 25, 2008
  • Published electronically: July 29, 2008
  • Additional Notes: Research supported in part by NSF grant no. DMS-0654147.
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 12 (2008), 236-259
  • MSC (2000): Primary 20C08, 17B20
  • DOI:
  • MathSciNet review: 2424964