V. Lopatkin

activity

20092022

most citedThe variety of dual mock-Lie algebras

25 citations · 57 across the 22 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.RA2019★ 25 cited

The variety of dual mock-Lie algebras

Luisa M. Camacho, Ivan Kaygorodov, Victor Lopatkin +1

We classify all complex $7$ - and $8$ -dimensional dual mock-Lie algebras by algebraic and geometric way. Also we find all non-trivial complex $9$ -dimensional dual mock-Lie algebras.

math.KT2019

Commutative Lie algebras and commutative cohomology in characteristic $2$

Viktor Lopatkin, Pasha Zusmanovich

We discuss a version of the Chevalley--Eilenberg cohomology in characteristic $2$ , where the alternating cochains are replaced by symmetric ones.

math.RA2019

Bipartite Graphs as Polynomials, and Polynomials as Bipartite Graphs (with a view towards dividing in $N [x],$ $N [x, y]$ )

Andrey Grinblat, Viktor Lopatkin

The aim of this paper is to show that any finite undirected bipartite graph can be considered as a polynomial $p \in N [x]$ , and any directed finite bipartite graph can be…

The variety of dual mock-Lie algebras

Commutative Lie algebras and commutative cohomology in characteristic 2

Bipartite Graphs as Polynomials, and Polynomials as Bipartite Graphs (with a view towards dividing in N[x], N[x,y])

Commutative Lie algebras and commutative cohomology in characteristic $2$

Bipartite Graphs as Polynomials, and Polynomials as Bipartite Graphs (with a view towards dividing in $N [x],$ $N [x, y]$ )