Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras II: Types Cr, F4, and G2
Abstract
We prove the periodicities of the restricted T and Y-systems associated with the quantum affine algebra of type Cr, F4, and G2 at any level. We also prove the dilogarithm identities for these Y-systems at any level. Our proof is based on the tropical Y-systems and the categorification of the cluster algebra associated with any skew-symmetric matrix by Plamondon.
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