Symplectic Generating Functions and Moyal Products |
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| Authors: | Pavol Ševera |
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| Institution: | (1) Section de Mathématiques, Université de Genève, Rue du Lièvre 2-4, 1211 Genève, Switzerland;(2) Department of Theoretical Physics, Commenius University, Mlynská dolina F2, 84248 Bratislava, Slovakia |
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| Abstract: | We introduce an affine-invariant version of generating functions of symplectic transformations of affine symplectic spaces,
together with a generalization for other symmetric symplectic spaces. The composition of these functions has a nice connection
with the Moyal product. |
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| Keywords: | symplectomorphisms generating functions Moyal product symmetric spaces |
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