Hua type beta-integrals and projective systems of measures on flag   spaces
  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 $n$. 
Yury A. Neretin
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