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

Kuniba, A., Nakanishi, T., Suzuki, J.

doi:10.48550/arxiv.0909.4618

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.

23 pages; the final (journal) version published in SIGMA

Journal

Symmetry, Integrability and Geometry: Methods and Applications

Symmetry, Integrability and Geometry: Methods and Applications 2009-12-19

SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

Keywords

Details 詳細情報について

CRID: 1870020692875573504

DOI: 10.3842/sigma.2009.108; 10.48550/arxiv.0909.4618

ISSN: 18150659

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OpenAIRE

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