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Representation Theory
Representation Theory
ISSN 1088-4165

 

A simple combinatorial proof of a generalization of a result of Polo


Author: Fabrizio Caselli
Journal: Represent. Theory 8 (2004), 479-486
MSC (2000): Primary 05E15, 20C08
Published electronically: November 2, 2004
MathSciNet review: 2110357
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Abstract: We provide a simple combinatorial proof of, and generalize, a theorem of Polo which asserts that for any polynomial $ P\in \mathbb N[q] $such that $ P(0)=1 $ there exist two permutations $ u $ and $ v $ in a suitable symmetric group such that $ P $ is equal to the Kazhdan-Lusztig polynomial $ P^{v}_{u} $.


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Additional Information

Fabrizio Caselli
Affiliation: Università di Roma “La Sapienza”, Dipartimento di matematica “G. Castelnuovo”, P.le A. Moro 3, 00185, Roma, Italy
Email: caselli@mat.uniroma1.it and caselli@igd.univ-lyon1.fr

DOI: http://dx.doi.org/10.1090/S1088-4165-04-00203-1
PII: S 1088-4165(04)00203-1
Received by editor(s): July 30, 2003
Received by editor(s) in revised form: March 19, 2004, and July 25, 2004
Published electronically: November 2, 2004
Additional Notes: The author was partially supported by EC grant HPRN-CT-2002-00272
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.