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
DOI:
https://doi.org/10.1090/S1088-4165-07-00317-2
Published electronically:
June 26, 2007
MathSciNet review:
2320806
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Abstract | References | Similar Articles | Additional Information
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
Email:
anthonyh@maths.usyd.edu.au
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.