Vector Fields and Differential Operators: Noncommutative Case

Details Vector Fields and Differential Operators: Noncommutative Case Vector Fields and Differential Operators: Noncommutative Case

1997-10-02

arxiv.org/abs/q-alg/9710006v2

Cech. J. Phys., 47 (1997) 1093

Physics

Mathematical Physics

8 pages in LaTeX, presented at the 6th Colloquium on Quantum Groups and Integrable Systems, Prague, June 1997 (to be published

Scientific paper

10.1023/A:1021697831180

A notion of Cartan pairs as an analogy of vector fields in the realm of noncommutative geometry has been proposed in q-alg/9609011 In this paper we give an outline of the construction of a noncommutative analogy of the algebra of partial differential operators as well as its natural (Fock type) representation. We shall also define co-universal vector fields and covariant derivatives.

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