ar X iv : q - a lg / 9 71 00 06 v 2 3 O ct 1 99 7 VECTOR FIELDS AND DIFFERENTIAL OPERATORS : NONCOMMUTATIVE CASE

نویسنده

  • Andrzej Borowiec
چکیده

A notion of Cartan pairs as an analogy of vector fields in the realm of noncommutative geometry has been proposed in [2]. 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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ar X iv : q - a lg / 9 71 00 06 v 1 2 O ct 1 99 7 VECTOR FIELDS AND DIFFERENTIAL OPERATORS : NONCOMMUTATIVE CASE

A notion of Cartan pairs as an analogy of vector fields in the realm of noncommutative geometry has been proposed in [2]. 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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تاریخ انتشار 1997