Open Access
Translator Disclaimer
2011 Equivalence Classes for the μ-Coefficient of Kazhdan–Lusztig Polynomials in $S_n$
Gregory S. Warrington
Experiment. Math. 20(4): 457-466 (2011).

Abstract

We study equivalence classes relating to the Kazhdan–Lusztig $\mu(x,w)$ coefficients in order to help explain the scarcity of distinct values. Each class is conjectured to contain a “crosshatch” pair. We also compute the values attained by $\mu(x,w)$ for the permutation groups $S_10$ and $S_11$.

Citation

Download Citation

Gregory S. Warrington. "Equivalence Classes for the μ-Coefficient of Kazhdan–Lusztig Polynomials in $S_n$." Experiment. Math. 20 (4) 457 - 466, 2011.

Information

Published: 2011
First available in Project Euclid: 8 December 2011

zbMATH: 1263.05118
MathSciNet: MR2859901

Subjects:
Primary: 05E10 , 20F55

Keywords: equivalence classes , Kazhdan–Lusztig polynomials , mu-coefficient

Rights: Copyright © 2011 A K Peters, Ltd.

JOURNAL ARTICLE
10 PAGES


SHARE
Vol.20 • No. 4 • 2011
Back to Top