15 citations · 39 across the 10 of their papers we have counts for
10 papers
Interpolations: a linear algebra approach
Andronick Arutyunov, Nikolay Korgin
This paper presents a unified linear-algebraic framework for interpolation problems, viewing different standart problems (Lagrange polynomials, Hermite splines, and trigonometric i…
Description of the structure of DG--algebras via characters on a groupoid
Andronick Arutyunov, Oleg Muravev
We construct a description of graded derivations in group algebras. Using this result for arbitrary graduation of the group algebra, we describe all possible structures of DG algeb…
The derivation problem for one type of bimodules over group algebras
Andronick Arutyunov, Alexey Naianzin
The derivation problem is a familiar one concerning group algebras, particularly and von Neumann algebras. In this paper, we study the Banach bimodule , which i…
Grading Structure for Derivations of Group Algebras
Andronick Arutyunov, Igor Zhiltsov
In this paper we give a way of equipping the derivation algebra of a group algebra with the structure of a graded algebra. The derived group is used as the grading group. For the p…
A combinatorial view on derivations in bimodules
Andronick Arutyunov
This paper is devoted to derivations in bimodules over group rings using previously proposed methods which are related to character spaces over groupoids. The theorem describing th…
Derivations of group rings for finite and FC groups
Andronick Arutyunov, Leo Kosolapov
In this paper we establish decomposition theorems for derivations of group rings. We provide a topological technique for studying derivations of a group ring in case has…
On -derivations of group algebra as category characters
Aleksandr Alekseev, Andronick Arutyunov, Sergei Silvestrov
For the space of -derivations of the group algebra of discrete countable group , the decomposition theorem for the space of -derivations, genera…
Cohomology of n-categories and derivations in group algebras
Andronick Arutyunov, Alekseev Aleksandr
This work represents the concept of an n-groupoid and n-characters on n-groupoids as complex-valued maps from spaces of different classes of morphisms satisfying th…
Smooth Version of Johnson's Problem Concerning Derivations of Group Algebras
A. A. Arutyunov, A. S. Mishchenko
A description of the algebra of outer derivations of a group algebra of a finitely presented discrete group is given in terms of the Cayley complex of the groupoid of the adjoint a…
Derivations of Group Algebras
A. A. Arutyunov, A. S. Mishchenko, A. I. Shtern
In the paper, a method of describing the outer derivations of the group algebra of a finitely presentable group is given. The description of derivations is given in terms of charac…