Twist Automorphisms and Poisson Structures

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Kimura, Yoshiyuki, Qin, Fan, Wei, Qiaoling
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212026
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Twist Automorphisms and Poisson Structures. Yoshiyuki Kimura, Fan Qin and Qiaoling Wei. SIGMA 19 (2023), 105, 39 pages

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...