1 citations · 2 across the 5 of their papers we have counts for
5 papers
-derivations and the argument shift method for deformation quantization algebras
G. Sharygin
The argument shift method is a well-known method for generating commutative families of functions in Poisson algebras from central elements and a vector field, verifying a special…
Bruhat order in the Toda system on : an example of non-split real form
Yu. B. Chernyakov, G. I. Sharygin, A. S. Sorin
In our previous papers we described the structure of trajectories of the symmetric Toda system on normal real forms of various Lie algebras and showed that it was totally determine…
Deformation quantization and the action of Poisson vector fields
G. Sharygin
As one knows, for every Poisson manifold there exists a formal noncommutative deformation of the algebra of functions on it; it is determined in a unique way (up to an equivale…
Holonomy, twisting cochains and characteristic classes
G. I. Sharygin
The primary interest of this paper is to discuss the role of twisting cochains in the theory of characteristic classes. We begin with the homological description of monodromy map,…
Hopf-type Cyclic Cohomology via Karoubi Operator
G. Sharygin
In this paper we propose still another approach to the Hopf-type cyclic homology of Hopf algebras, introduced by A. Connes and H. Moscovici. Our construction is based on the notion…