Quantum Calculi: differential forms and vector fields in noncommutative geometry

Autor:	Borowiec, Andrzej
Rok vydání:	2022
Předmět:	Mathematical Physics High Energy Physics - Theory Mathematics - Quantum Algebra Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
DOI:	10.1142/9789811271151_0012
Popis:	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. Comment: 15 pages. Improved and extended version, refs. added. Comments welcome! Devoted to the memory of Prof. Zbigniew Oziewicz
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.12102 Zobrazit plný text záznamu View this record from Arxiv