Cofinite Induction and Artin′s Theorem for Hopf Algebras

✍ Scribed by D.M. Weinraub

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 517 KB
• Volume: 175
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1995.1214

✦ Synopsis

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 groups does not hold. 1995 Academic Press. Inc.