Noncommutative differential calculus for Moyal subalgebras

Details Noncommutative differential calculus for Moyal subalgebras Noncommutative differential calculus for Moyal subalgebras

2004-11-24

arxiv.org/abs/hep-th/0411223v2

J.Geom.Phys.56:611-622,2006

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/j.geomphys.2005.04.006

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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