An elementary proof of the Macdonald identities for A(1)l
作者： S.C Milne
DOI: 10.1016/0001-8708(85)90105-7
关键词: Pure mathematics 、 Hypergeometric identity 、 Generalization 、 Basic hypergeometric series 、 Elementary proof 、 Identity (mathematics) 、 Generalized hypergeometric function 、 Macdonald identities 、 Mathematics 、 Series (mathematics)
摘要: Abstract In this paper it is shown that the Macdonald identities for A(1)l are a natural consequence of recent multivariable generalization classical basic hypergeometric series known as in U(n). More precisely, U(n) multiple q-binomial theorem derived and used to generalize Cauchy's elegant proof Jacobi's triple product identity give direct, elementary A(1)l.
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