Fusion algebra and Verlinde's formula
High Energy Physics - Theory
2008-02-03 v1 Quantum Algebra
Abstract
We show that the coefficients of decomposition into an irreducible components of the tensor powers of level 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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Cite
@article{arxiv.hep-th/9212084,
title = {Fusion algebra and Verlinde's formula},
author = {Anatol N. Kirillov},
journal= {arXiv preprint arXiv:hep-th/9212084},
year = {2008}
}
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9 pages