CYCLOTOMIC QUIVER HECKE ALGEBRAS CORRESPONDING TO MINUSCULE REPRESENTATIONS

被引:1
|
作者
Park, Euiyong [1 ]
机构
[1] Univ Seoul, Dept Math, Seoul 02504, South Korea
基金
新加坡国家研究基金会;
关键词
Categorification; minuscule representations; quantum groups; quiver Hecke algebras; ELEMENTS;
D O I
10.4134/JKMS.j190647
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the paper, we give an explicit basis of the cyclotomic quiver Hecke algebra corresponding to a minuscule representation of finite type.
引用
收藏
页码:1373 / 1388
页数:16
相关论文
共 50 条
  • [41] Quiver Hecke algebras for alternating groups
    Clinton Boys
    Andrew Mathas
    [J]. Mathematische Zeitschrift, 2017, 285 : 897 - 937
  • [42] Fusion Procedure for Cyclotomic Hecke Algebras
    Ogievetsky, Oleg V.
    D'Andecy, Loic Poulain
    [J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2014, 10
  • [43] CYCLOTOMIC DOUBLE AFFINE HECKE ALGEBRAS
    Braverman, Alexander
    Etingof, Pavel
    Finkelberg, Michael
    [J]. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2020, 53 (05): : 1249 - 1312
  • [44] Minuscule reverse plane partitions via quiver representations
    Alexander Garver
    Rebecca Patrias
    Hugh Thomas
    [J]. Selecta Mathematica, 2023, 29
  • [45] Quiver Hecke Algebras and 2-Lie Algebras
    Rouquier, Raphael
    [J]. ALGEBRA COLLOQUIUM, 2012, 19 (02) : 359 - 410
  • [46] REPRESENTATIONS OF HECKE ALGEBRAS
    GUTKIN, E
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 309 (01) : 269 - 277
  • [47] REPRESENTATIONS OF HECKE ALGEBRAS
    CURTIS, CW
    [J]. ASTERISQUE, 1988, (168) : 13 - 60
  • [48] Minuscule reverse plane partitions via quiver representations
    Garver, Alexander
    Patrias, Rebecca
    Thomas, Hugh
    [J]. SELECTA MATHEMATICA-NEW SERIES, 2023, 29 (03):
  • [49] On representations of Hecke algebras
    Isaev, AP
    Ogievetsky, O
    [J]. CZECHOSLOVAK JOURNAL OF PHYSICS, 2005, 55 (11) : 1433 - 1441
  • [50] UNITARY REPRESENTATIONS OF CYCLOTOMIC HECKE ALGEBRAS AT ROOTS OF UNITY: COMBINATORIAL CLASSIFICATION AND BGG RESOLUTIONS
    Bowman, Chris
    Norton, Emily
    Simental, Jose
    [J]. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2024, 23 (02) : 557 - 608