A combinatorial model for q-characters of fundamental modules of type Dn

被引：0
|
作者：
Tong, Jun [1 ]
Duan, Bing [1 ]
Luo, Yanfeng [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2025年 / 53卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Combinatorial path models; fundamental modules; quantum affine algebras; q-characters; screening operators; FINITE-DIMENSIONAL REPRESENTATIONS; MINIMAL AFFINIZATIONS; CLUSTER ALGEBRAS; QUIVER VARIETIES; JACOBI-TRUDI; QUANTUM;
D O I：
10.1080/00927872.2024.2379491
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a combinatorial path model of representation of the quantum affine algebra of type D-n, inspired by Mukhin and Young's combinatorial path models of representations of the quantum affine algebras of types A(n) and B-n. In particular, we give a combinatorial formula for q-characters of fundamental modules of type D-n by assigning each path to a monomial or binomial. By counting our paths, a new expression on dimensions of fundamental modules of type D-n is obtained.
引用
收藏
页码：467 / 488
页数：22
相关论文
共 50 条
  • [1] Path description for q-characters of fundamental modules in type C
    Jang, Il-Seung
    COMMUNICATIONS IN ALGEBRA, 2024, 52 (03) : 1237 - 1254
  • [2] Combinatorics of the q-characters of Hernandez-Leclerc modules
    Guo, JingMin
    Duan, Bing
    Luo, Yan-Feng
    JOURNAL OF ALGEBRA, 2022, 605 : 253 - 295
  • [3] Path description of type B q-characters
    Mukhin, E.
    Young, C. A. S.
    ADVANCES IN MATHEMATICS, 2012, 231 (02) : 1119 - 1150
  • [4] A cluster algebra approach to q-characters of Kirillov-Reshetikhin modules
    Hernandez, D.
    Leclerc, B.
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2016, 18 (05) : 1113 - 1159
  • [5] TENSOR PRODUCTS AND q-CHARACTERS OF HL-MODULES AND MONOIDAL CATEGORIFICATIONS
    Brito, Matheus
    Chari, Vyjayanthi
    JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES, 2019, 6 : 581 - 619
  • [6] Q-CHARACTERS AND MINIMAL AFFINIZATIONS
    Moakes, M. G.
    Pressley, A. N.
    INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2007, 1 : 55 - 97
  • [7] The q-characters at roots of unity
    Frenkel, E
    Mukhin, E
    ADVANCES IN MATHEMATICS, 2002, 171 (01) : 139 - 167
  • [8] Difference L operators related to q-characters
    Kuniba, A
    Okado, M
    Suzuki, J
    Yamada, Y
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (06): : 1415 - 1435
  • [9] Dual canonical bases, quantum shuffles and q-characters
    Leclerc, B
    MATHEMATISCHE ZEITSCHRIFT, 2004, 246 (04) : 691 - 732
  • [10] Dual canonical bases, quantum shuffles and q-characters
    Bernard Leclerc
    Mathematische Zeitschrift, 2004, 246 : 691 - 732
12345