Abstract
The authors review the construction of generating functions for WZNW (Wess-Zumino-Novikov-Witten) fusion rules and present the explicit form of the generating function for so(5). In addition to providing a compact and manifestly positive expression for the so(5) fusion rules at all levels, this result illustrates a general conjecture on the relation between the generating function for WZNW fusion rules and that for finite Lie algebra tensor products.
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