A Selberg integral for the Lie algebra A_n

S. Ole Warnaar

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arxiv 0708.1193 v1 pith:VOQKX27Q submitted 2007-08-08 math.CA math.COmath.QA

A Selberg integral for the Lie algebra A_n

S. Ole Warnaar This is my paper

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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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