I. Emel’yanenkov

activity

20202022

most citedSet-theoretical solutions of simplex equations

6 citations · 7 across the 2 of their papers we have counts for

collaborators

3 papers

nlin.SI2022★ 6 cited

Set-theoretical solutions of simplex equations

V. Bardakov, B. Chuzinov, I. Emel'yanenkov +3

The $n$ -simplex equation ( $n$ -SE) was introduced by A. B. Zamolodchikov as a generalization of the Yang--Baxter equation, which is the $2$ -simplex equation in these terms. In the p…

math.GR2021★ 1 cited

Virtual and universal braid groups, their quotients and representations

V. Bardakov, I. Emel'yanenkov, M. Ivanov +3

In the present paper we study structural aspects of certain quotients of braid groups and virtual braid groups. In particular, we construct and study linear representations $B_n\to…

math.GR2020

Representations of flat virtual braids which do not preserve the forbidden relations

V. Bardakov, B. Chuzhinov, I. Emel'yanenkov +8

In the paper, we construct a representation $θ : F V B_{n} \to Aut (F_{2 n})$ of the flat virtual braid group $F V B_{n}$ on $n$ strands by automorphisms of the free group $F_{2 n}$ with $2…