Higher-Order Differential Calculi

作者: Stephen Bruce Sontz

DOI: 10.1007/978-3-319-15829-7_10

关键词: Hopf algebraDifferential algebraOrder (ring theory)FunctorUniversal propertyExterior algebraDifferential calculusPure mathematicsSection (fiber bundle)Mathematics

摘要: In this section, we will construct a higher-order differential calculus (HODC) provided that are given first-order (FODC). This construction be functor. What the differentials in braided exterior algebra analogous to de Rham classical case.

参考文章(87)
V. G. Drinfeld, Hopf algebra and Yang-Baxter equation Soviet Math. Dokl.. ,vol. 32, pp. 254- 258 ,(1985)
Susan Montgomery, Jeffrey Bergen, Advances in Hopf algebras M. Dekker. ,(1994)
Mićo Đurđević, Quantum classifying spaces and universal quantum characteristic classes Banach Center Publications. ,vol. 40, pp. 315- 327 ,(1997) , 10.4064/-40-1-315-327
Steven Shnider, Shlomo Sternberg, Quantum groups : from coalgebras to Drinfeld algebras : a guided tour International Press. ,(1993)
Wojciech Szymanski, Paul F. Baum, Rainer Matthes, Piotr M. Hajac, Noncommutative Geometry Approach to Principal and Associated Bundles arXiv: Differential Geometry. ,(2006)
S. L. Woronowicz, Pseudospaces, pseudogroups and pontriagin duality Mathematical Problems in Theoretical Physics. ,vol. 116, pp. 407- 412 ,(1980) , 10.1007/3-540-09964-6_354
George Lusztig, Introduction to Quantum Groups ,(1993)
Konrad Schmüdgen, Anatoli Klimyk, Quantum Groups and Their Representations ,(2011)