Fundamental relations in quantum cluster algebras
Quantum Algebra
2025-09-16 v1 Representation Theory
Abstract
Let be an arbitrary quantum cluster algebra with principal coefficients. We give the fundamental relations between the quantum cluster variables arising from one-step mutations from the initial cluster in . Immediately and directly, we obtain an algebra homomorphism from the corresponding (untwisted) quantum group to .
Cite
@article{arxiv.2509.11635,
title = {Fundamental relations in quantum cluster algebras},
author = {Junyuan Huang and Xueqing Chen and Ming Ding and Fan Xu},
journal= {arXiv preprint arXiv:2509.11635},
year = {2025}
}