Y. Neretin

collaborators

8 papers

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.HO2026

The double gamma function and Vladimir Alekseevsky

Yury A. Neretin

This paper is about a forgotten function and a forgotten mathematician. The double gamma function is now an important special function, which appears for different reasons in many…

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 $I^\pm ⩽ n$ be positive integers. Consider the general linear group $GL (I^\pm + n, F_{q})$ and its subgr…

math.RT2025

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

Yury A. Neretin

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

math.GR2025

On visualisation of completions of free groups

Yury A. Neretin

Our purpose is to visualize the pronilpotent completion of a finitely generated free group as a certain subgroup in the free Lie group.