A Selberg integral for the Lie algebra A_n

Details A Selberg integral for the Lie algebra A_n A Selberg integral for the Lie algebra A_n

2007-08-08

arxiv.org/abs/0708.1193v1

Acta Mathematica 203 (2009), 269-304.

Mathematics

Classical Analysis and ODEs

32 pages

Scientific paper

10.1007/s11511-009-0043-x

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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