Hopf–Sikorski algebras

Demonstratio mathematica

article

Michael Heller¹  Zdzisław Odrzygóźdź²  Leszek Pysiak²  Wiesław Sasin² 

[1] Copernicus Center for Interdisciplinary Studies;Department of Mathematics and Information Science, Warsaw University of Technology

关键词: Hopf algebras;    differential spaces;    differential groups;   

DOI  :  10.1515/dema-2013-0311

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

The dual category with respect to the category of differential groups is defined and investigated. The objects of this category are algebras, called Hopf–Sikorski (H-S) algebras, the axioms of which combine the axioms of Sikorski’s algebras with modified axiomas of Hopf algebras. Morphisms of this category are structural mappings corresponding to Hopf algebras that are smooth in the sense of Sikorski. As an example, we discuss the H-S algebra of the Lorentz group.

【 授权许可】

CC BY