30 citations · 178 across the 55 of their papers we have counts for
5 papers · 1 filter
Topological groups and invariant measures
Yury A. Neretin
Lecture notes in Russian. Topics: the Haar measure (abstract theorems and explicit descriptions for different groups), measures on infinite-dimensional spaces with large natural gr…
Restriction of representations of to and action of the Lie overalgebra
Yury A. Neretin
Consider a restriction of an irreducible finite dimensional holomorphic representation of $\GL(n+1,C)$ to the subgroup (it is determined by the Gelfand-Tsetlin branching…
Infinite symmetric groups and combinatorial constructions of topological field theory type
Yury A. Neretin
The paper contains a survey of train constructions for infinite symmetric groups and related groups. For certain pairs (a group , a subgroup ), we construct categories, whose…
Infinite symmetric group and bordisms of pseudomanifolds
Alexander A. Gaifullin, Yury A. Neretin
We consider a category whose morphisms are bordisms of -dimensional pseudomanifolds equipped with a certain additional structure (coloring). On the other hand, we consider the p…
The subgroup is spherical in the group of diffeomorphisms of the circle
Yury A. Neretin
We show that the group is a spherical subgroup in the group of -diffeomorphisms of the circle. Also, the group of automorphisms of a Bruhat--Tits tree is a spherica…