Kazhdan-Lusztig polynomials and subexpressions

被引：4
作者：
Libedinsky, Nicolas
Williamson, Geordie
机构：
来源：
JOURNAL OF ALGEBRA | 2021年 / 568卷
关键词：
Kazhdan-Lusztig polynomials; Hecke algebras; Soergel bimodules; Light leaves;
D O I：
10.1016/j.jalgebra.2020.10.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We refine an idea of Deodhar, whose goal is a counting formula for Kazhdan-Lusztig polynomials. This is a consequence of a simple observation that one can use the solution of Soergel's conjecture to make ambiguities involved in defining certain morphisms between Soergel bimodules in characteristic zero (double leaves) disappear. (C) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页码：181 / 192
页数：12
相关论文
共 50 条
  • [41] Kazhdan-Lusztig combinatorics in the moment graph setting
    Lanini, Martina
    JOURNAL OF ALGEBRA, 2012, 370 : 152 - 170
  • [42] CONJUGACY CLASSES OF INVOLUTIONS AND KAZHDAN-LUSZTIG CELLS
    Bonnafe, Cedric
    Geck, Meinolf
    REPRESENTATION THEORY, 2014, 18 : 155 - 182
  • [43] Kazhdan-Lusztig cells and the Frobenius-Schur indicator
    Geck, Meinolf
    JOURNAL OF ALGEBRA, 2014, 398 : 329 - 342
  • [44] On Domino Insertion and Kazhdan-Lusztig Cells in Type Bn
    Bonnafe, Cedric
    Geck, Meinolf
    Iancu, Lacrimioara
    Lam, Thomas
    REPRESENTATION THEORY OF ALGEBRAIC GROUPS AND QUANTUM GROUPS, 2010, 284 : 33 - +
  • [45] ON THE KAZHDAN-LUSZTIG CELLS IN TYPE E8
    Geck, Meinolf
    Halls, Abbie
    MATHEMATICS OF COMPUTATION, 2015, 84 (296) : 3029 - 3049
  • [46] Positivity conjectures for Kazhdan-Lusztig theory on twisted involutions: The finite case
    Marberg, Eric
    JOURNAL OF ALGEBRA, 2014, 413 : 198 - 225
  • [47] Kazhdan-Lusztig Cells in Affine Weyl Groups of Rank 2
    Guilhot, Jeremie
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2010, 2010 (17) : 3422 - 3462
  • [48] Embedded factor patterns for deodhar elements in Kazhdan-Lusztig theory
    Billey, Sara C.
    Jones, Brant C.
    ANNALS OF COMBINATORICS, 2007, 11 (3-4) : 285 - 333
  • [49] Kazhdan-Lusztig Algorithm for Whittaker Modules with Arbitrary Infinitesimal Characters
    Zhao, Qixian
    ALGEBRAS AND REPRESENTATION THEORY, 2024, 27 (01) : 767 - 814
  • [50] Note sur les polynômes de Kazhdan-Lusztig
    Morel S.
    Mathematische Zeitschrift, 2011, 268 (1-2) : 593 - 600
12345