Y. Neretin

activity

20172026

most citedOn the Weil representation of infinite-dimensional symplectic group over a finite field

3 citations · 4 across the 8 of their papers we have counts for

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10 papers · 1 filter

math.RT2026

On a super-Virasoro group, a semigroup of annuli, and Gauss--Berezin integral operators

Yury A. Neretin

Denote by $A$ the Grassmann algebra with a countable number of generators, by $A_{0}$ , $A_{1}$ its even and odd parts. We consi…

math.RT2025

On algebras of conjugacy classes of symmetric groups with respect to Young subgroups

Yury A. Neretin

We consider the subalgebra of the group algebra of a symmetric group consisting of functions that are constant on conjugacy classes with respect to a Young subgroup. We write an ex…

math.RT2025

One algebra of double cosets for a general linear group over a finite field

Yury A. Neretin

Let $F_{q}$ be finite field with $q$ elements. Let $α ⩽ n$ be positive integers. Consider the general linear group $GL (α + n, F_{q})$ and its subgrou…

math.RT2025

Algebra of double cosets of a symmetric group by a smaller symmetric group

Yury A. Neretin

Fix a natural $α$ . Let $n \geq α$ be an integer. Consider the symmetric group $S_{α + n}$ and its subgroup $S_{n}$ . We consider the group algebra of $S_{α + n}$ and its subalgebra $\mathbb…

math.RT2025

Some remarks on the group of formal diffeomorphisms of the line

Yury A. Neretin

Consider a strictly positively graded finitely generated infinite-dimensional real Lie algebra $g$ . It has a well-defined Lie group $G$ , which is an…

math.RT2022

Groups of isometries of ultrametric Urysohn spaces and their unitary representations

Yury A. Neretin

We consider groups $I$ of isometries of ultrametric Urysohn spaces $U$ . Such spaces $U$ admit transparent realizations as boundaries of certain $R$ -trees…