15 citations · 90 across the 32 of their papers we have counts for
21 papers · 1 filter
Separating G_2-invariants of several octonions
Artem Lopatin, Alexandr N. Zubkov
We describe separating G_2-invariants of several copies of the algebra of octonions over an algebraically closed field of characteristic two. We also obtain a minimal separating an…
Classification of G_2-orbits for pairs of octonions
Artem Lopatin, Alexandr N. Zubkov
Over an algebraically closed field, we described a minimal set of representatives for G_2-orbits on the set of pairs of octonions.
Identities for a parametric Weyl algebra over a ring
Artem Lopatin, Carlos Arturo Rodriguez Palma
In 2013 Benkart, Lopes and Ondrus introduced and studied in a series of papers the infinite-dimensional unital associative algebra $\A_h$ generated by elements which satisfy…
Separating invariants of three nilpotent 3x3 matrices
Felipe Barbosa Cavalcante, Artem Lopatin
The algebra of GL_n-invariants of d-tuple of n x n nilpotent matrices with respect to the action by simultaneous conjugation is generated by the traces of products of nilpotent gen…
Minimal generating and separating sets for O(3)-invariants of several matrices
Artem A. Lopatin, Ronaldo José Sousa Ferreira
Given an algebra of polynomial invariants of an action of the group over the vector space , a subset of is called separating if separates all orbit…
The structure of simple noncommutative Jordan superalgebras
Ivan Kaygorodov, Artem Lopatin, Yury Popov
In this paper we describe all subalgebras and automorphisms of simple noncommutative Jordan superalgebras and and compute the derivations of the nontrivia…