25 citations · 57 across the 22 of their papers we have counts for
4 papers · 1 filter
Describing realizable Gauss diagrams using the concepts of parity or bipartate graphs
Alexei Lisitsa, Viktor Lopatkin, Alexei Vernitski
Two recent publications describe realizable Gauss diagrams using conditions stating that the number of chords in certain sets of chords is even or odd. We demonstrate that these de…
Transposed Poisson structures on Galilean and solvable Lie algebras
Ivan Kaygorodov, Viktor Lopatkin, Zerui Zhang
Transposed Poisson structures on complex Galilean type Lie algebras and superalgebras are described. It was proven that all principal Galilean Lie algebras do not have non-trivial…
On meandric permutations
Viktor Lopatkin
We give a bijection between meanders and special sorts of Gauss diagrams which aroused from the Thurston generators of braid groups. It allows us to give an algorithm to construct…
Morse matching method for conformal cohomologies
H. Alhussein, P. Kolesnikov, V. Lopatkin
We apply discrete algebraic Morse theory to the computation of Hochschild cohomologies of associative conformal algebras. As an example, we evaluate the dimensions of the universal…