Twist automorphisms and Poisson structures

Y Kimura, F Qin, Q Wei - SIGMA. Symmetry, Integrability and Geometry …, 2023 - emis.de
We introduce (quantum) twist automorphisms for upper cluster algebras and cluster Poisson
algebras with coefficients. Our constructions generalize the twist automorphisms for …

[HTML][HTML] Quasi-homomorphisms of quantum cluster algebras

W Chang, M Huang, JR Li - Journal of Algebra, 2024 - Elsevier
In this paper, we study quasi-homomorphisms of quantum cluster algebras, which are
quantum analogy of quasi-homomorphisms of cluster algebras introduced by Fraser. For a …

A note on cluster automorphism groups

W Chang, R Schiffler - arxiv preprint arxiv:1812.05034, 2018 - arxiv.org
We conjecture a characterization of a cluster automorphism as an algebra homomorphism
from the cluster algebra to itself that restricts to a bijection between two clusters. This …