Extended $T$-System of Type $G_2$
Quantum Algebra
2013-08-23 v2
Abstract
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 extending the celebrated -system relations of type . We show that these relations can be used to compute classes of certain irreducible modules, including classes of all minimal affinizations of type . We use this result to obtain explicit formulas for dimensions of all participating modules.
Cite
@article{arxiv.1208.4821,
title = {Extended $T$-System of Type $G_2$},
author = {Jian-Rong Li and Evgeny Mukhin},
journal= {arXiv preprint arXiv:1208.4821},
year = {2013}
}