Applications of the freezing operators on cluster algebras
Quantum Algebra
2024-07-11 v1 Representation Theory
Abstract
We apply freezing operators to relate different (quantum) upper cluster algebras. We prove that these operators send localized (quantum) cluster monomials to localized (quantum) cluster monomials. They also send bases to bases in many cases. In addition, the bases constructed via freezing coincide with those constructed via localization.
Cite
@article{arxiv.2407.03186,
title = {Applications of the freezing operators on cluster algebras},
author = {Fan Qin},
journal= {arXiv preprint arXiv:2407.03186},
year = {2024}
}
Comments
25 pages