Remarks on the structure constants of the Verlinde algebra associated to $sl_3$

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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5 pages, AmsTeX, 1 figure available on request

Scientific paper

10.1007/BF00416019

The structure constants $N_{\lambda, \mu}^{\mu+\nu}$ of the $sl_2$ Verlinde
algebra as functions of $\mu$ either vanish or can be expressed after a change
of variable as the weight function of an irreducible representation of $sl_2$.
We give a similar formula in the $sl_3$ case.

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