Exponents Associated with Y-Systems and their Relationship with q-Series

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Mizuno, Yuma
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210582
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Exponents Associated with Y-Systems and their Relationship with q-Series. Yuma Mizuno. SIGMA 16 (2020), 028, 42 pages

Let ᵣ be a finite type Dynkin diagram, and ℓ be a positive integer greater than or equal to two. The -system of type ᵣ with level ℓ is a system of algebraic relations whose solutions have been proved to have periodicity. For any pair (ᵣ,ℓ), we define an integer sequence called exponents using the fo...