Combinatorial Gelfand models

被引:28
|
作者
Adin, Ron M. [1 ]
Postnikov, Alexander [2 ]
Roichman, Yuval [1 ]
机构
[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
[2] MIT, Dept Appl Math, Cambridge, MA 02139 USA
关键词
symmetric group; Iwahori-Hecke algebra; descents inversions; character formulas; Gelfand model;
D O I
10.1016/j.jalgebra.2008.03.030
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A combinatorial construction of a Gelfand model for the symmetric group and its Iwahori-Hecke algebra is presented. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码:1311 / 1325
页数:15
相关论文
共 50 条
  • [1] Combinatorial Gelfand Models for Semisimple Diagram Algebras
    Mazorchuk, Volodymyr
    [J]. MILAN JOURNAL OF MATHEMATICS, 2013, 81 (02) : 385 - 396
  • [2] Combinatorial Gelfand Models for Semisimple Diagram Algebras
    Volodymyr Mazorchuk
    [J]. Milan Journal of Mathematics, 2013, 81 : 385 - 396
  • [3] COMBINATORIAL GELFAND MODELS FOR SOME SEMIGROUPS AND q-ROOK MONOID ALGEBRAS
    Kudryavtseva, Ganna
    Mazorchuk, Volodymyr
    [J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2009, 52 : 707 - 718
  • [4] Combinatorial construction of Gelfand-Tsetlin modules for gln
    Futorny, Vyacheslav
    Ramirez, Luis Enrique
    Zhang, Jian
    [J]. ADVANCES IN MATHEMATICS, 2019, 343 : 681 - 711
  • [5] ON GELFAND AND MACPHERSON'S COMBINATORIAL FORMULA FOR PONTRJAGIN CLASSES
    Abawonse, Olakunle
    Anderson, Laura
    [J]. arXiv, 2022,
  • [6] Gelfand models for diagram algebras
    Tom Halverson
    Mike Reeks
    [J]. Journal of Algebraic Combinatorics, 2015, 41 : 229 - 255
  • [7] EIGENVALUES OF GENERALIZED GELFAND MODELS
    FINK, AM
    GATICA, JA
    HERNANDEZ, GE
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 20 (12) : 1453 - 1468
  • [8] Gelfand models for diagram algebras
    Halverson, Tom
    Reeks, Mike
    [J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2015, 41 (02) : 229 - 255
  • [9] Combinatorial Constructions of Weight Bases: The Gelfand-Tsetlin Basis
    Hersh, Patricia
    Lenart, Cristian
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2010, 17 (01):
  • [10] Combinatorial flip actions and Gelfand pairs for affine Weyl groups
    Adin, Ron M.
    Hegedus, Pal
    Roichman, Yuval
    [J]. JOURNAL OF ALGEBRA, 2022, 607 : 5 - 33