τ-Functions, Birkhoff Factorizations and Difference Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Addabbo, D., Bergvelt, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210052
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: τ-Functions, Birkhoff Factorizations and Difference Equations / D. Addabbo, M. Bergvelt // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 32 назв. — англ.

Q-systems and T-systems are systems of integrable difference equations that have recently attracted much attention and have wide applications in representation theory and statistical mechanics. We show that certain τ-functions, given as matrix elements of the action of the loop group of GL₂ on two-c...