Kazhdan-Lusztig combinatorics via sheaves on Bruhat graphs

被引：0

作者：

Fiebig, Peter ^{[1
]}

机构：

[1] Univ Freiburg, Inst Math, D-79104 Freiburg, Germany

来源：

Algebraic and Geometric Combinatorics | 2006年 / 423卷

关键词：

representation theory; combinatorics;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

To any Coxeter system we associate an exact category and study the projective objects therein. We discuss an analog of the Kazhdan-Lusztig conjecture and show how it follows from a "genericity" conjecture and how the latter follows from a "Hard Lefschetz" conjecture.

引用

页码：195 / 204

页数：10

共 50 条

[1] Inequalities on Bruhat graphs, R- and Kazhdan-Lusztig polynomials
Kobayashi, Masato
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2013, 120 (02) : 470 - 482
[2] Quantum Schur superalgebras and Kazhdan-Lusztig combinatorics
Du, Jie
Rui, Hebing
JOURNAL OF PURE AND APPLIED ALGEBRA, 2011, 215 (11) : 2715 - 2737
[3] Kazhdan-Lusztig combinatorics in the moment graph setting
Lanini, Martina
JOURNAL OF ALGEBRA, 2012, 370 : 152 - 170
[4] Completely compressible Bruhat intervals and Kazhdan-Lusztig polynomials
Delanoy, Ewan
EUROPEAN JOURNAL OF COMBINATORICS, 2008, 29 (03) : 746 - 759
[5] Peak algebras, paths in the Bruhat graph and Kazhdan-Lusztig polynomials
Brenti, Francesco
Caselli, Fabrizio
ADVANCES IN MATHEMATICS, 2017, 304 : 539 - 582
[6] ON THE KAZHDAN-LUSZTIG CONJECTURES
DEODHAR, VV
PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1982, 85 (01): : 1 - 17
[7] Kazhdan-Lusztig conjecture via zastava spaces
Braverman, Alexander
Finkelberg, Michael
Nakajima, Hiraku
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2022, 2022 (787): : 45 - 78
[8] Type A molecules are Kazhdan-Lusztig
Chmutov, Michael
JOURNAL OF ALGEBRAIC COMBINATORICS, 2015, 42 (04) : 1059 - 1076
[9] The combinatorics behind the leading Kazhdan-Lusztig coefficients ffi cients of braid matroids
Gao, Alice L. L.
Yang, Arthur L. B.
Proudfoot, Nicholas
Zhang, Zhong-Xue
ELECTRONIC JOURNAL OF COMBINATORICS, 2024, 31 (03):
[10] On the quantum Kazhdan-Lusztig functor
Etingof, PI
Moura, AA
MATHEMATICAL RESEARCH LETTERS, 2002, 9 (04) : 449 - 463

← 1 2 3 4 5 →