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2007-08-08
A Selberg integral for the Lie algebra A_n
S. Ole Warnaar
文献摘要
A new q-binomial theorem for Macdonald polynomials is employed to prove an A_n analogue of the celebrated Selberg integral. This confirms the g=A_n case of a conjecture by Mukhin and Varchenko concerning the existence of a Selberg integral for every simple Lie algebra g.
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