説明
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.
23 pages; the final (journal) version published in SIGMA
収録刊行物
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- Symmetry, Integrability and Geometry: Methods and Applications
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Symmetry, Integrability and Geometry: Methods and Applications 2009-12-19
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
