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

Vernadsky National Library of Ukraine

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Title T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras
 
Creator Kuniba, A.
Nakanishi, T.
Suzuki, J.
 
Description 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.
 
Date 2019-02-19T17:19:48Z
2019-02-19T17:19:48Z
2009
 
Type Article
 
Identifier 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.
1815-0659
2000 Mathematics Subject Classification: 17B37; 13A99
http://dspace.nbuv.gov.ua/handle/123456789/149098
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України