4 papers
Complete and vertical lifts of Poisson vector fields and infinitesimal deformations of Poisson tensor
Alina Dobrogowska, Grzegorz Jakimowicz, Karolina Wojciechowicz
In this paper we prove that both complete and vertical lifts of a Poisson vector field from a Poisson manifold to its tangent bundle are also Poisson. We us…
Deformation of algebroid bracket of differential forms and Poisson manifold
Alina Dobrogowska, Grzegorz Jakimowicz, Karolina Wojciechowicz
We construct the family of algebroid brackets on the tangent bundle to a Poisson manifold starting from an algebroid bracket of differential fo…
Symmetries of the space of connections on a principal G-bundle and related symplectic structures
Grzegorz Jakimowicz, Anatol Odzijewicz, Aneta Sliżewska
We investigate G-invariant symplectic structures on the cotangent bundle T*P of a principal G-bundle P(M,G) which are canonically related to automorphisms of the tangent bundle TP…
Quantum Complex Minkowski Space
Grzegorz Jakimowicz, Anatol Odzijewicz
The complex Minkowski phase space has the physical interpretation of the phase space of the scalar massive conformal particle. The aim of the paper is the construction and investig…