Kazhdan-Lusztig R-polynomials for pircons

被引:2
作者
Marietti, Mario [1 ]
机构
[1] Univ Politecn Marche, Dipartimento Ingn Ind Sci & Matemat, I-60131 Ancona, Italy
关键词
Kazhdan-Lusztig polynomials; Coxeter groups; Special matchings; SPECIAL MATCHINGS;
D O I
10.1016/j.jalgebra.2019.05.038
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of this work is to provide a common combinatorial framework for some of the analogues and generalizations of Kazhdan-Lusztig R-polynomials that have appeared since the introduction of these remarkable polynomials (e.g., parabolic Kazhdan-Lusztig R-polynomials, Kazhdan-Lusztig R-polynomials of zircons, and Kazhdan-Lusztig-Vogan polynomials for fixed point free involutions). (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码:245 / 272
页数:28
相关论文
共 50 条
  • [41] 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
  • [42] Kazhdan-Lusztig combinatorics in the moment graph setting
    Lanini, Martina
    JOURNAL OF ALGEBRA, 2012, 370 : 152 - 170
  • [43] CONJUGACY CLASSES OF INVOLUTIONS AND KAZHDAN-LUSZTIG CELLS
    Bonnafe, Cedric
    Geck, Meinolf
    REPRESENTATION THEORY, 2014, 18 : 155 - 182
  • [44] On the minimal power of q in a Kazhdan-Lusztig polynomial
    Gaetz, Christian
    Gao, Yibo
    ADVANCES IN MATHEMATICS, 2024, 457
  • [45] 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 - +
  • [46] Kazhdan–Lusztig polynomials of boolean elements
    Pietro Mongelli
    Journal of Algebraic Combinatorics, 2014, 39 : 497 - 525
  • [47] ON THE KAZHDAN-LUSZTIG CELLS IN TYPE E8
    Geck, Meinolf
    Halls, Abbie
    MATHEMATICS OF COMPUTATION, 2015, 84 (296) : 3029 - 3049
  • [48] Kazhdan-Lusztig Cells in Affine Weyl Groups of Rank 2
    Guilhot, Jeremie
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2010, 2010 (17) : 3422 - 3462
  • [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