English

A generalized quantum cluster algebra of Kronecker type

Quantum Algebra 2023-04-04 v1

Abstract

The cluster multiplication formulas for a generalized quantum cluster algebra of Kronecker type are explicitly given. Furthermore, a positive bar-invariant Z[q±12]\mathbb{Z}[q^{\pm\frac{1}{2}}]-basis of this algebra is constructed.

Keywords

Cite

@article{arxiv.2304.00896,
  title  = {A generalized quantum cluster algebra of Kronecker type},
  author = {Liqian Bai and Xueqing Chen and Ming Ding and Fan Xu},
  journal= {arXiv preprint arXiv:2304.00896},
  year   = {2023}
}

Comments

15 pages, comments welcome

R2 v1 2026-06-28T09:46:21.425Z