Quantum cluster algebras from unpunctured triangulated surfaces: arbitrary coefficients and quantization
Representation Theory
2022-01-11 v3 Combinatorics
Quantum Algebra
Abstract
We study quantum cluster algebras from unpunctured surfaces with arbitrary coefficients and quantization. We first give a new proof of the Laurent expansion formulas for commutative cluster algebras from unpunctured surfaces, we then give the quantum Laurent expansion formulas for the quantum cluster algebras. Particularly, this gives a combinatorial proof of the positivity for such class of quantum cluster algebras.
Cite
@article{arxiv.1807.06910,
title = {Quantum cluster algebras from unpunctured triangulated surfaces: arbitrary coefficients and quantization},
author = {Min Huang},
journal= {arXiv preprint arXiv:1807.06910},
year = {2022}
}
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