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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.


Nilpotent orbits of linear and cyclic quivers and Kazhdan-Lusztig polynomials of type A
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by Anthony Henderson
Represent. Theory 11 (2007), 95-121
Published electronically: June 26, 2007


The intersection cohomologies of closures of nilpotent orbits of linear (respectively, cyclic) quivers are known to be described by Kazhdan-Lusztig polynomials for the symmetric group (respectively, the affine symmetric group). We explain how to simplify this description using a combinatorial cancellation procedure, and we derive some consequences for representation theory.
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Bibliographic Information
  • Anthony Henderson
  • Affiliation: School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia
  • MR Author ID: 687061
  • ORCID: 0000-0002-3965-7259
  • Email:
  • Received by editor(s): January 10, 2005
  • Published electronically: June 26, 2007
  • Additional Notes: This work was supported by Australian Research Council grant DP0344185
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 11 (2007), 95-121
  • MSC (2000): Primary 17B37; Secondary 05E15, 20C08
  • DOI:
  • MathSciNet review: 2320806