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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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Nilpotent orbits of linear and cyclic quivers and Kazhdan-Lusztig polynomials of type A
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by Anthony Henderson PDF
Represent. Theory 11 (2007), 95-121 Request permission


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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Additional 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