Extended T-System of Type G2

被引：7

作者：

Li, Jian-Rong ^{[1
]}

Mukhin, Evgeny

机构：

[1] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2013年 / 9卷

关键词：

quantum affine algebra of type G(2); minimal affinizations; extended T-systems; q-characters; Frenkel-Mukhin algorithm; MINIMAL AFFINIZATIONS; CLUSTER ALGEBRAS; Q-CHARACTERS; REPRESENTATIONS;

D O I：

10.3842/SIGMA.2013.054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a family of 3-term relations in the Grothendieck ring of the category of finite-dimensional modules over the affine quantum algebra of type G(2) extending the celebrated T-system relations of type G(2). We show that these relations can be used to compute classes of certain irreducible modules, including classes of all minimal affinizations of type G(2). We use this result to obtain explicit formulas for dimensions of all participating modules.

引用

页数：28