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arxiv: 1406.6997 · v1 · pith:WL2VXOP2new · submitted 2014-06-26 · 🧮 math.CA · math.RT

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

classification 🧮 math.CA math.RT
keywords spacesbeta-integralsfamilyflagmatricesmeasuresupper-triangularcompatible
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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 $n$.

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