Equivalence Classes for the μ-Coefficient of Kazhdan-Lusztig Polynomials in Sn

被引：3
|
作者：
Warrington, Gregory S. [1 ]
机构：
[1] Univ Vermont, Dept Math & Stat, Burlington, VT 05401 USA
来源：
EXPERIMENTAL MATHEMATICS | 2011年 / 20卷 / 04期
关键词：
Kazhdan-Lusztig polynomials; equivalence classes; mu-coefficient; SCHUBERT VARIETIES; LATTICE PATHS; PERMUTATIONS;
D O I：
10.1080/10586458.2011.565260
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：457 / 466
页数：10
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