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math.DG2017
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…
math.DG2017
Fibre-wise linear Poisson structures related to W*-algebras
Anatol Odzijewicz, Grzegorz Jakimowicz, Aneta Sliżewska
In this paper we investigate fiber-wise linear complex Banach sub-Poisson structures defined canonically by the structure of a W*-algebra M. In particular we show that these struct…