Fusion algebra and Verlinde's formula

Abstract

We show that the coefficients of decomposition into an irreducible components of the tensor powers of level $r$ symmetric algebra of adjoint representation coincide with the Verlinder numbers. Also we construct (for $sl(2)) the representations of a general linear group those dimensions are given by corresponding Verlinde's numbers.

9 pages

Cited by in corpus (2)

• Dilogarithm identities
• Positivity and periodicity of $Q$-systems in the WZW fusion ring