N. Nessonov

activity

19972024

most citedSchur-Weyl duality for the unitary groups of

I I_{1}

-factors

4 citations · 4 across the 7 of their papers we have counts for

collaborators

7 papers

math.RT2024

The classification of the stable factor-representations of the infinite hyperoctahedral group

N. I. Nessonov

The full description of the stable factor-representations of the infinite hyperoctahedral group up to quasi-equivalence obtained.

math.RT2022

Indecomposable characters on direct limit of symmetric groups with diagonal embeddings

N. Nessonov, N. T. S. Ngo

In this paper we obtain the complete description of all indecomposable characters (central positive-definite functions) of inductive limits of the symmetric groups under block diag…

math.RT2018

Any nonsingular action of the full symmetric group is isomorphic to an action with invariant measure

Nikolay Nessonov

Let $S_{\infty}$ denote the set of all bijections of natural numbers. Consider the action of $S_{\infty}$ on a measure space $\left( X,\math…

math.RT2018

$II_{1}$ -factor representations of the infinite symmetric inverse semigroup

N. I. Nessonov

Let $N$ be a set of the natural numbers. Symmetric inverse semigroup $R_{\infty}$ is the semigroup of all infinite 0-1 matrices $[g_{ij}]_{i, j \in N}$ wi…

math.RT2013★ 4 cited

Schur-Weyl duality for the unitary groups of $I I_{1}$ -factors

N. I. Nessonov

We obtain the analogue of Schur-Weyl duality for the unitary group of an arbitrary $II_{1}$ -factor

math.FA2012

Stable states and representations of the infnite symmetric group

A. Vershik, N. Nessonov

We introduce the notion of stable representations, -- it is a new class of the representations of a certain class of groups which defined with positive definite functions which gen…

funct-an1997

A Complete Classification Of The Admissible Representations Of Infinite-Dimensional Classical Matrix Groups

N. I. Nessonov

This paper contains a complete description of classes of the unitary equivalence of the admissible representations of infinite-dimensional classic matrix groups paper.

The classification of the stable factor-representations of the infinite hyperoctahedral group

Indecomposable characters on direct limit of symmetric groups with diagonal embeddings

Any nonsingular action of the full symmetric group is isomorphic to an action with invariant measure

II1​-factor representations of the infinite symmetric inverse semigroup

Schur-Weyl duality for the unitary groups of II1​-factors

Stable states and representations of the infnite symmetric group

A Complete Classification Of The Admissible Representations Of Infinite-Dimensional Classical Matrix Groups

$II_{1}$ -factor representations of the infinite symmetric inverse semigroup

Schur-Weyl duality for the unitary groups of $I I_{1}$ -factors