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Some remarks on the integration of the Poisson algebra |
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| Authors: | Augustin Banyaga Paul Donato |
| Institution: | a Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA b Centre de Mathématiques et d'Informatique, 39, rue Joliot Curie, F-13453, Marseille Cedex 13, France |
| Abstract: | We prove the integrability of the Poisson algebra of functions with compact supports of a noncompact manifold. We also determine a Lie subalgebra of vector fields which, weakly, integrate the Poisson algebra of a not necessarily compact manifold covered by an exact symplectic manifold. |
| Keywords: | Integrability Weak integrability Poisson algebra Infinite dimensional Lie algebra Calabi homomorphism |
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