Vector Fields and Differential Operators: Noncommutative Case
arXiv:q-alg/9710006 · doi:10.1023/A:1021697831180
Abstract
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.
8 pages in LaTeX, presented at the 6th Colloquium on Quantum Groups and Integrable Systems, Prague, June 1997 (to be published in Czechoslovak Journal of Physics)