Extended T -System of Type G 2

Symmetry Integrability and Geometry-Methods and Applications

article

Jian-Rong Li¹  Evgeny Mukhin² 

[1] Department of Mathematics, Lanzhou University;Department of Mathematical Sciences, Indiana University - Purdue University Indianapolis

关键词: quantum af fine algebra of type G2;    minimal af finizations;    extended T-systems;    q-characters;    Frenkel–Mukhin algorithm;   

DOI  :  10.3842/SIGMA.2013.054

来源: National Academy of Science of Ukraine

【 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.

【 授权许可】

Unknown