Generalized quantum cluster algebras: the Laurent phenomenon and upper bounds
Quantum Algebra
2022-03-15 v1 Rings and Algebras
Representation Theory
Abstract
Generalized quantum cluster algebras introduced in [1] are quantum deformation of generalized cluster algebras of geometric types. In this paper, we prove that the Laurent phenomenon holds in these generalized quantum cluster algebras. We also show that upper bounds coincide with the corresponding generalized quantum upper cluster algebras under the "coprimality" condition.
Keywords
Cite
@article{arxiv.2203.06928,
title = {Generalized quantum cluster algebras: the Laurent phenomenon and upper bounds},
author = {Liqian Bai and Xueqing Chen and Ming Ding and Fan Xu},
journal= {arXiv preprint arXiv:2203.06928},
year = {2022}
}
Comments
22 pages. Comments are welcome