1 citations · 1 across the 2 of their papers we have counts for
6 papers
Deformations of the central extension of the Poisson superalgebra
S. E. Konstein, I. V. Tyutin
Poisson superalgebras realized on the smooth Grassmann valued functions with compact support in R^n have the central extensions. The deformations of these central extensions are fo…
Cohomologies of the Poisson superalgebra
S. E. Konstein, A. G. Smirnov, I. V. Tyutin
Cohomology spaces of the Poisson superalgebra realized on smooth Grassmann-valued functions with compact support on ($C^{2n}) are investigated under suitable continuity re…
The general form of the star-product on the Grassman algebra
I. V. Tyutin
We study the general form of the noncommutative associative product (the star-product) on the Grassman algebra; the star-product is treated as a deformation of the usual "pointwise…
The general form of the *-commutator on the Grassman algebra
I. V. Tyutin
We study the general form of the *-commutator treated as a deformation of the Poisson bracket on the Grassman algebra. We show that, up to a similarity transformation, there are ot…
On Local Variational Differential Operators in Field Theory
S. S. Shahverdiyev, I. V. Tyutin, B. L. Voronov
We propose and develop a new calculus for local variational differential operators. The main difference of the new formalism with the canonical differential calculus is that the im…
Pseudoclassical supersymmetrical model for 2+1 Dirac particle
D. M. Gitman, A. E. Gonçalves, I. V. Tyutin
A new pseudoclassical supersymmetrical model of a spinning particle in 2+1 dimensions is proposed. Different ways of its quantization are discussed. They all reproduce the minimal…