Abstract
In this paper it is shown that the Macdonald identities for A (1) l are a natural consequence of the recent multivariable generalization of classical basic hypergeometric series known as basic hypergeometric series in U( n). More precisely, a U( n) multiple series generalization of the q-binomial theorem is derived and used to generalize Cauchy's elegant proof of Jacobi's triple product identity and to give a direct, elementary proof of the Macdonald identities for A (1) l .
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