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Representation Theory

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Nilpotent orbits of linear and cyclic quivers and Kazhdan-Lusztig polynomials of type A

Author: Anthony Henderson
Journal: Represent. Theory 11 (2007), 95-121
MSC (2000): Primary 17B37; Secondary 05E15, 20C08
Published electronically: June 26, 2007
MathSciNet review: 2320806
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Abstract: 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

Received by editor(s): January 10, 2005
Published electronically: June 26, 2007
Additional Notes: This work was supported by Australian Research Council grant DP0344185
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.