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arxiv: hep-th/0411223 · v2 · pith:RB6CFIHRnew · submitted 2004-11-24 · ✦ hep-th

Noncommutative differential calculus for Moyal subalgebras

classification ✦ hep-th
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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