Hua type beta-integrals and projective systems of measures on flag spaces

Abstract

We construct a family of measures on flag spaces (or, equivalently, on the spaces of upper-triangular matrices) compatible with respect to natural projections. We obtain an $n(n-1)/2$-parametric family of beta-integrals over space of upper-triangular matrices of size $n$.

9pp

References in corpus (1)

• Matrix beta-integrals: an overview

Cited by in corpus (2)

• Restriction of representations of $GL(n+1,C)$ to $GL(n,C)$ and action of the Lie overalgebra
• Matrix beta-integrals: an overview