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arXiv · 0708.1193

A Selberg integral for the Lie algebra A_n

S. Ole Warnaar
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Abstract

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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S. Ole Warnaar. 2007-08-08. A Selberg integral for the Lie algebra A_n. https://doi.org/10.1007/s11511-009-0043-x

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