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.
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页码：467 / 488
页数：22
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