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Noncommutative differential calculus for Moyal subalgebras

arXiv:hep-th/0411223 · doi:10.1016/j.geomphys.2005.04.006

Abstract

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^*.

13 pages, no figures. One reference added, minor corrections