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math.RT2022
Groups of isometries of ultrametric Urysohn spaces and their unitary representations
Yury A. Neretin
We consider groups of isometries of ultrametric Urysohn spaces . Such spaces admit transparent realizations as boundaries of certain -trees…
math.CA2022★ 3 cited
On the Dotsenko-Fateev complex twin of the Selberg integral and its extensions
Yury A. Neretin
The Selberg integral has a twin (`the Dotsenko--Fateev integral') of the following form. We replace real variables in the integrand $\prod |x_k|^{σ-1}\,|1-x_k|^{τ-1} \prod|x_…
math.RT2022
Virtual permutations and polymorhisms
Yury A. Neretin
There is a natural map from a symmetric group to a smaller symmetric group , we write a decomposition of a permutation into a product of disjoint cycles and remove t…