7 citations · 14 across the 6 of their papers we have counts for
7 papers
Lifting Functors and Relative Schur-Baer Theorems
Maxim Ivanov
We introduce -lifting functors, which axiomatize lifting properties of non-abelian tensor and exterior products with respect to prescribed classes of group extensions. For a hom…
Set-theoretical solutions of simplex equations
V. Bardakov, B. Chuzinov, I. Emel'yanenkov +3
The -simplex equation (-SE) was introduced by A. B. Zamolodchikov as a generalization of the Yang--Baxter equation, which is the -simplex equation in these terms. In the p…
Recurrent Generalization of F-Polynomials for Virtual Knots and Links
Amrendra Gill, Maxim Ivanov, Madeti Prabhakar +1
F-polynomials for virtual knots were defined by Kaur, Prabhakar and Vesnin in 2018 using flat virtual knot invariants. These polynomials naturally generalize Kauffman's affine inde…
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…
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 of the flat virtual braid group on strands by automorphisms of the free group with $2…
Polynomials of genus one prime knots of complexity at most five
Maxim Ivanov, Andrei Vesnin
Prime knots of genus one admitting diagram with at most five classical crossings were classified by Akimova and Matveev in 2014. In 2018 Kaur, Prabhakar and Vesnin introduced famil…