Noncommutative differential calculus for Moyal subalgebras

A. Zampini; G. Marmo; P. Vitale

Noncommutative differential calculus for Moyal subalgebras

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arxiv hep-th/0411223 v2 pith:RB6CFIHR submitted 2004-11-24 hep-th

G. Marmo , P. Vitale , A. Zampini This is my paper · ORCID

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keywords algebracalculusdifferentialmoyalsubalgebrasformsnoncommutativeallows

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We build a differential calculus for subalgebras of the Moyal algebra on R^4 starting from a redundant differential calculus on the Moyal algebra, which is suitable for reduction. In some cases we find a frame of 1-forms which allows to realize the complex of forms as a tensor product of the noncommutative subalgebras with the external algebra Lambda^*.

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