Leading coefficients of Kazhdan-Lusztig polynomials and fully commutative elements

被引：6

作者：

Green, R. M. ^{[1
]}

机构：

[1] Univ Colorado, Dept Math, Boulder, CO 80309 USA

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2009年 / 30卷 / 02期

关键词：

Kazhdan-Lusztig polynomials; Affine Weyl groups; Fully commutative elements; 0-1; conjecture; COXETER GROUPS; REPRESENTATIONS; ALGEBRAS; FINITE;

D O I：

10.1007/s10801-008-0156-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let W be a Coxeter group of type (A) over tilde (n-1). We show that the leading coefficient, mu(x, w), of the Kazhdan-Lusztig polynomial P-x,P-w is always equal to 0 or 1 if x is fully commutative (and w is arbitrary).

引用

页码：165 / 171

页数：7

共 15 条

[1] On the affine Temperley-Lieb algebras [J].

Fan, CK ;

Green, RM .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1999, 60 :366-380

[2]

Humphreys J. E., 1990, REFLECTION GROUPS CO

[3]

JONES BC, J ALGEBR CO IN PRESS

[4] REPRESENTATIONS OF COXETER GROUPS AND HECKE ALGEBRAS [J].

KAZHDAN, D ;

LUSZTIG, G .

INVENTIONES MATHEMATICAE, 1979, 53 (02) :165-184

[5]

Kazhdan David, 1980, P S PURE MATH, VXXXVI, P185

[6]

LASCOUX A, 1981, ASTERISQUE, P249

[7]

LASCOUX A, 1995, CR ACAD SCI I-MATH, V321, P667

[8] SOME EXAMPLES OF SQUARE INTEGRABLE REPRESENTATIONS OF SEMISIMPLE P-ADIC GROUPS [J].

LUSZTIG, G .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 277 (02) :623-653

[9]

LUSZTIG G, 1980, P SYMP PURE MATH, V37, P313

[10]

Lusztig George, 1985, Adv. Stud. Pure Math., V6, P255

← 1 2 →