Bruhat intervals, subword complexes and brick polyhedra for finite Coxeter groups

被引：1

作者：

Jahn, Dennis ^{[1
]}

Stump, Christian ^{[1
]}

机构：

[1] Ruhr Univ Bochum, Fak Math, Bochum, Germany

来源：

MATHEMATISCHE ZEITSCHRIFT | 2023年 / 304卷 / 02期

关键词：

D O I：

10.1007/s00209-023-03267-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the interplay between the discrete geometry of Bruhat poset intervals and subword complexes of finite Coxeter systems. We establish connections between the cones generated by cover labels for Bruhat intervals and of root configurations for subword complexes, culminating in the notion of brick polyhedra for general subword complexes.

引用

页数：32

共 50 条

[1] Bruhat intervals, subword complexes and brick polyhedra for finite Coxeter groups
Dennis Jahn
Christian Stump
[J]. Mathematische Zeitschrift, 2023, 304
[2] Subword complexes in Coxeter groups
Knutson, A
Miller, E
[J]. ADVANCES IN MATHEMATICS, 2004, 184 (01) : 161 - 176
[3] BRUHAT INTERVALS AND PARABOLIC COSETS IN ARBITRARY COXETER GROUPS
Marietti, Mario
[J]. arXiv, 2022,
[4] Bruhat intervals and parabolic cosets in arbitrary Coxeter groups
Marietti, Mario
[J]. JOURNAL OF ALGEBRA, 2023, 614 : 1 - 4
[5] Coxeter groups, Coxeter monoids and the Bruhat order
Toby Kenney
[J]. Journal of Algebraic Combinatorics, 2014, 39 : 719 - 731
[6] Coxeter groups, Coxeter monoids and the Bruhat order
Kenney, Toby
[J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2014, 39 (03) : 719 - 731
[7] Bases for the Bruhat-Chevalley order on all finite coxeter groups
Geck, M
Kim, S
[J]. JOURNAL OF ALGEBRA, 1997, 197 (01) : 278 - 310
[8] BRUHAT ORDER OF COXETER GROUPS AND SHELLABILITY
BJORNER, A
WACHS, M
[J]. ADVANCES IN MATHEMATICS, 1982, 43 (01) : 87 - 100
[9] AUTOMORPHISMS OF THE BRUHAT ORDER ON COXETER GROUPS
WATERHOUSE, WC
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1989, 21 : 243 - 248
[10] RICCI CURVATURE, BRUHAT GRAPHS AND COXETER GROUPS
Siconolfi, Viola
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (01) : 17 - 27

← 1 2 3 4 5 →