Lattice paths and Kazhdan-Lusztig polynomials

被引:22
作者
Brenti, F [1 ]
机构
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
关键词
coxeter group; Bruhat order; Kazhdan-Lusztig polynomial; Eulerian poset; lattice path; generalized h-vector; Bayer-Billera relations;
D O I
10.1090/S0894-0347-98-00249-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:229 / 259
页数:31
相关论文
共 24 条
[1]  
Andr? D., 1887, CR HEBD ACAD SCI, V105, P436
[2]  
[Anonymous], INTRO PROBABILITY TH
[3]  
[Anonymous], ADV COMBINATORICS
[4]  
[Anonymous], 1983, COMBINATORIAL ENUMER
[5]   GENERALIZED DEHN-SOMMERVILLE RELATIONS FOR POLYTOPES, SPHERES AND EULERIAN PARTIALLY ORDERED SETS [J].
BAYER, MM ;
BILLERA, LJ .
INVENTIONES MATHEMATICAE, 1985, 79 (01) :143-157
[6]   BRUHAT ORDER OF COXETER GROUPS AND SHELLABILITY [J].
BJORNER, A ;
WACHS, M .
ADVANCES IN MATHEMATICS, 1982, 43 (01) :87-100
[7]  
Bjorner A., 1984, Contemp. Math., V34
[8]  
Bjorner A., 1982, ORDERED SETS, P583
[9]   Combinatorial expansions of Kazhdan-Lusztig polynomials [J].
Brenti, F .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1997, 55 :448-472
[10]   A COMBINATORIAL FORMULA FOR KAZHDAN-LUSZTIG POLYNOMIALS [J].
BRENTI, F .
INVENTIONES MATHEMATICAE, 1994, 118 (02) :371-394