T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Kuniba, A., Nakanishi, T., Suzuki, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149098
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras / A. Kuniba, T. Nakanishi, J. Suzuki // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 58 назв. — англ.

The T-systems and Y-systems are classes of algebraic relations originally associated with quantum affine algebras and Yangians. Recently the T-systems were generalized to quantum affinizations of a wide class of quantum Kac-Moody algebras by Hernandez. In this note we introduce the corresponding Y-s...