论文标题
量子计算：非共同几何形状中的差分形式和矢量场
Quantum Calculi: differential forms and vector fields in noncommutative geometry
论文作者
论文摘要
在本文中，我们修改了先前在参考文献中介绍的非交通矢量领域的概念。 [1,2]，扩展了框架，添加了新的结果并澄清了旧结果。使用适当的代数工具，以前的考虑中的某些缺点被填补并更精确。我们专注于所谓的cartan对和一阶差异之间的对应关系。自由双模型承认更友好的“坐标描述”及其编织的情况更详细地考虑。明确构建了右/左通用向量场的双模型。
In this paper, we revise the concept of noncommutative vector fields introduced previously in Ref. [1,2], extending the framework, adding new results and clarifying the old ones. Using appropriate algebraic tools certain shortcomings in the previous considerations are filled and made more precise. We focus on the correspondence between so-called Cartan pairs and first-order differentials. The case of free bimodules admitting more friendly "coordinate description" and their braiding is considered in more detail. Bimodules of right/left universal vector fields are explicitly constructed.
