Fedosov Manifolds
In this paper we study geometry of symmetric torsion-free connections which preserve a given symplectic form
dg-ga↗
arXiv subjects
Vladimir Retakh
Publications and source records attributed to Vladimir Retakh.
Factorization of differential operators, quasideterminants, and nonabelian Toda field equations
We integrate nonabelian Toda field equations for root systems of types A, B, C, for functions with values in any associative algebra. The solution is expressed via quasideterminants. In the appendix we review some results concerning nonabelian soliton equations.
q-alg↗
Noncommutative Vieta Theorem and Symmetric Functions
A version of the classical Vieta theorem for free noncommuting variables is given. It leads to a new start in a construction of noncommutative symmetric functions
q-alg↗