Twist Automorphisms and Poisson Structures
-
Published:2023-12-23
Issue:
Volume:
Page:
-
ISSN:1815-0659
-
Container-title:Symmetry, Integrability and Geometry: Methods and Applications
-
language:
-
Short-container-title:SIGMA
Author:
Kimura Yoshiyuki, ,Qin Fan,Wei Qiaoling, ,
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.
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Subject
Geometry and Topology,Mathematical Physics,Analysis