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 Λ∗.
Noncommutative differential calculus for Moyal subalgebras / Marmo, Giuseppe; Vitale, Patrizia; Zampini, Alessandro. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - STAMPA. - 56:(2006), pp. 611-622. [10.1016/j.geomphys.2005.04.006]
Noncommutative differential calculus for Moyal subalgebras
Giuseppe Marmo;Patrizia Vitale;Alessandro Zampini
2006
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 Λ∗.File in questo prodotto:
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