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Matrix beta-integrals: an overview

Published 8 Nov 2014 in math.CA, math.NT, and math.RT | (1411.2110v2)

Abstract: First examples of matrix beta-integrals were discovered on 1930-50s by Siegel and Hua, in 60s Gindikin obtained multi-parametric series of such integrals. We discuss beta-integrals related to symmetric spaces, their interpolation with respect to the dimension of a ground field, and adelic analogs; also we discuss beta-integrals related to flag spaces.

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