𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Induction and Coinduction for Hopf Algebras: Applications

✍ Scribed by S. Caenepeel; S. Raianu; F. Vanoystaeyen

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
617 KB
Volume
165
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Cofinite Induction and Artinβ€²s Theorem f
Cofinite Induction and Artinβ€²s Theorem for Hopf Algebras
✍ D.M. Weinraub πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 517 KB

Let \(H\) be a finite dimensional cocommutative Hopf algebra over a field \(K\) of characteristic zero. Then it is possible for \(H\) to be simple; that is, \(H\) has no proper nontrivial subHopf algebras. In particular, the Hopf algebraic analog of Artin's theorem for representations of finite grou

A Maschke Type Theorem for Doi–Hopf Modu
A Maschke Type Theorem for Doi–Hopf Modules and Applications
✍ S. Caenepeel; G. Militaru; Zhu Shenglin πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 239 KB

We prove a Maschke type theorem for Doi᎐Hopf modules. A sufficient condition in order to have a Maschke type property is that there exists a normalized integral map for the Doi᎐Hopf datum in question. The results are applied to graded modules and to Yetter᎐Drinfel'd modules. As another application,