3 citations · 4 across the 4 of their papers we have counts for
6 papers
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…
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…
Some remarks on traces on the infinite-dimensional Iwahori--Hecke algebra
Yury A. Neretin
The infinite-dimensional Iwahori--Hecke algebras are direct limits of the usual finite-dimensional Iwahori--Hecke algebras. They arise in a natural way as c…
On double cosets of groups with respect to subgroups of block strictly triangular matrices
Yury A. Neretin
We parametrize the space of double cosets of the group with respect to two subgroups , of block strictly triangular matrices. In Addendum, we consider the…
On the group of infinite -adic matrices with integer elements
Yury A. Neretin
Let be an infinite-dimensional real classical group containing the complete unitary group (or complete orthogonal group) as a subgroup. Then generates a category of double…
On the Weil representation of infinite-dimensional symplectic group over a finite field
Yury A. Neretin
We extend the Weil representation of infinite-dimensional symplectic group to a representation a certain category of linear relations.