Matrix beta-integrals: an overview
Classical Analysis and ODEs
2017-03-28 v2 Number Theory
Representation Theory
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.
Cite
@article{arxiv.1411.2110,
title = {Matrix beta-integrals: an overview},
author = {Yury A. Neretin},
journal= {arXiv preprint arXiv:1411.2110},
year = {2017}
}
Comments
16pp, types were corrected