Noncommutative Differential Calculus: Quantum Groups, Stochastic Processes, and the Antibracket

Details Noncommutative Differential Calculus: Quantum Groups, Stochastic Processes, and the Antibracket Noncommutative Differential Calculus: Quantum Groups, Stochastic Processes, and the Antibracket

1994-01-28

arxiv.org/abs/hep-th/9401151v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, GOET-TP 55/93, contribution to the DGMTP conference (Ixtapa, Sept. 93)

Scientific paper

We explore a differential calculus on the algebra of smooth functions on a manifold. The former is `noncommutative' in the sense that functions and differentials do not commute, in general. Relations with bicovariant differential calculus on certain quantum groups and stochastic calculus are discussed. A similar differential calculus on a superspace is shown to be related to the Batalin-Vilkovisky antifield formalism.

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