Fusion algebra and Verlinde's formula

Details Fusion algebra and Verlinde's formula Fusion algebra and Verlinde's formula

1992-12-14

arxiv.org/abs/hep-th/9212084v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

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.

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