Finite dimensional comodules over the Hopf algebra of rooted trees
β Scribed by L. Foissy
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 257 KB
- Volume
- 255
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
In the context of finite-dimensional cocommutative Hopf algebras, we prove versions of various group cohomology results: the QuillenαVenkov theorem on detecting nilpotence in group cohomology, Chouinard's theorem on determining whether a kG-module is projective by restricting to elementary abelian p
The trace of powers of the square of the antipode s 2 of a finite-dimensional Hopf algebra A over a field k is studied. It is shown in many cases that the trace function vanishes on s 2m when s 2m = 1 A . Finer properties of the antipode are related to this phenomenon.  2002 Elsevier Science (USA)