Noncommutative Hamiltonian dynamics on foliated manifolds |
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Authors: | Yuri A Kordyukov |
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Institution: | 1.Institute of Mathematics,Russian Academy of Sciences,Ufa,Russia |
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Abstract: | First, we review the notion of a Poisson structure on a noncommutative algebra due to Block, Getzler and Xu, and we introduce
a notion of a Hamiltonian vector field on a noncommutative Poisson algebra. Then we describe a Poisson structure on a noncommutative
algebra associated with a transversely symplectic foliation and construct a class of Hamiltonian vector fields associated
with this Poisson structure. |
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Keywords: | |
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