A Selberg integral for the Lie algebra A_n

2007/08/08 by S. Ole Warnaar · 2 citations
Mathematics · #math.CA #math.CO #math.QA #msc:05E05 #msc:33C70 #msc:33D67

paper · pdf · doi:10.1007/s11511-009-0043-x

published as Acta Mathematica 203 (2009), 269-304. · 32 pages

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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