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The computer program 'Fecom.nb' implementing the Fedosov *-product in Darboux coordinates is presented. It has been written in Mathematica 6.0 but it can be easily modified to be run in some earlier version of Mathematica. To optimize computations elements of the Weyl algebra are treated as polynomials. Several procedures which order the terms are included.
Construction of an infinite dimensional differentiable manifold R ∞ not modelled on any Banach space is proposed. Definition, metric and differential structures of a Weyl algebra (P * p M [], •) and a Weyl algebra bundle (P * M[], •) are presented. Continuity of the •-product in the Tichonov topology is proved. Construction of the *-product of the… (More)