Twist automorphisms and Poisson structures
Quantum Algebra
2023-12-27 v4 Representation Theory
Abstract
We introduce (quantum) twist automorphisms for upper cluster algebras and cluster Poisson algebras with coefficients. Our constructions generalize the twist automorphisms for quantum unipotent cells. We study their existence and their compatibility with Poisson structures and quantization. The twist automorphisms always permute well-behaved bases for cluster algebras. We explicitly construct (quantum) twist automorphisms of Donaldson-Thomas type and for principal coefficients.
Cite
@article{arxiv.2201.10284,
title = {Twist automorphisms and Poisson structures},
author = {Yoshiyuki Kimura and Fan Qin and Qiaoling Wei},
journal= {arXiv preprint arXiv:2201.10284},
year = {2023}
}
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