等变Morita-Takeuchi理论
Equivariant Morita-Takeuchi Theory
摘要：
对于由霍普夫代数H给出对称的余代数，我们引入了H-等变Morita-Takeuchi理论的概念.引入了上同调理论，将余代数上的余作用的可能提升分类到相应的余模。定义了一个等变的Picard广群，并研究了它与上同调理论的联系.
英文摘要：
We introduce the notion of H-equivariant Morita-Takeuchi theory for coalgebras with symmetries given by a Hopf algebra H. A cohomology theory is introduced which classifies the possible lifts of coactions on coalgebras to corresponding comodules. An equivariant Picard groupoid is defined and its connection to the developed cohomology theory investigated.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
