Vector Fields and Differential Operators: Noncommutative Case
q-alg
2009-10-30 v2 数学物理
math.MP
量子代数
摘要
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.
引用
@article{arxiv.q-alg/9710006,
title = {Vector Fields and Differential Operators: Noncommutative Case},
author = {Andrzej Borowiec},
journal= {arXiv preprint arXiv:q-alg/9710006},
year = {2009}
}
备注
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)