1 citations · 1 across the 6 of their papers we have counts for
6 papers
Centralizers of Jacobian derivations
D. I. Efimov, A. P. Petravchuk, M. S. Sydorov
Let be an algebraically closed field of characteristic zero, the polynonial ring in variables , and let be the Lie algebra of…
On maximality of some solvable and locally nilpotent subalgebras of the Lie algebra
D. Efimov, M. Sydorov, K. Sysak
Let be an algebraically closed field of characteristic zero, the polynomial ring, and the Lie algebra of all -derivations on . One of th…
Hafnian of two-parameter matrices
Dmitry Efimov
The concept of the hafnian first appeared in the works on quantum field theory by E. R. Caianiello. However, it also has an important combinatorial property: the hafnian of the adj…
The hafnian of Toeplitz matrices of a special type, perfect matchings and Bessel polynomials
Dmitry Efimov
We present a simple and convenient analytical formula for efficient exact computation of the hafnian of Toeplitz matrices of a special type. An interpretation of the obtained resul…
Determinants of generalized binary band matrices
Dmitry Efimov
Under binary matrices we mean matrices whose entries take one of two values. In this paper, explicit formulae for calculating the determinant of some type of binary Toeplitz matric…
On exact representations of the motions group of Galilean plane
Dmitry Efimov, Igor Kostyakov, Vasiliy Kuratov
The Pimenov algebra with two generators is defined and some of its properties are shown. Some exact matrix over the Pimenov algebra representations of the motions group of Galilean…