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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• ISSN: 1815-0659
• 1. Verfasser: Mizuno, Yuma
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210582
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...