Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras
Інший ID:
2000 Mathematics Subject Classification: 17B37; 13A99
Посилання:
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.
Підтримка:
It is our great pleasure to thank Professor Tetsuji Miwa on the occasion of his sixtieth birthday for his generous support and continuous interest in our works through many years. We also thank David Hernandez for a valuable comment.
Дата:
2009
Переглядів:
310
Завантажень:
186
Анотація:
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-systems and establish a relation between T and Y-systems. We also introduce the T and Y-systems associated with a class of cluster algebras, which include the former T and Y-systems of simply laced type as special cases.
