Azumaya algebras and artin's theorem
β Scribed by W Schelter
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 90 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
An algebra \(R\) with anti-isomorphism ( \({ }^{*}\) ) is shown to be Azumaya if (*) is given by an element of \(R \otimes R^{\text {op }}\); in particular, this is the case if the canonical map \(R \otimes_{C} R^{\text {op }} \rightarrow \operatorname{End}_{C}(R)\) is onto. Consequently, the existe