1995•Izvestiya MathematicsRequires access
Construction of the cotangent bundle of a locally compact group
S. S. Akbarov
Open publisher page 2 citations
Abstract
The existence is proved of generalized smooth structure on the cotangent bundle of an arbitrary locally compact group , turning into a paracompact (possibly infinite-dimensional) smooth manifold. A symplectic form on is constructed, which is naturally related to the Poisson brackets in the algebra of symbols on and the Lie-Poisson structure in the momentum space .