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

页码：467 / 488

页数：22

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