On the minimal affinizations over the quantum affine algebras of type $C_n$
Quantum Algebra
2015-05-25 v1
Abstract
In this paper, we study the minimal affinizations over the quantum affine algebras of type by using the theory of cluster algebras. We show that the -characters of a large family of minimal affinizations of type satisfy some systems of equations. These equations correspond to mutation equations of some cluster algebras. Furthermore, we show that the minimal affinizations in these equations correspond to cluster variables in these cluster algebras.
Keywords
Cite
@article{arxiv.1505.05928,
title = {On the minimal affinizations over the quantum affine algebras of type $C_n$},
author = {Xin-Yang Feng and Jian-Rong Li and Yan-Feng Luo},
journal= {arXiv preprint arXiv:1505.05928},
year = {2015}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1501.00146, arXiv:1502.02423