In the context of finite-dimensional cocommutative Hopf algebras, we prove versions of various group cohomology results: the Quillen᎐Venkov theorem on detecting nilpotence in group cohomology, Chouinard's theorem on determining whether a kG-module is projective by restricting to elementary abelian p
Cocommutative Hopf Algebra Actions and the Connes Spectrum
✍ Scribed by J. Osterburg; D. Quinn
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 456 KB
- Volume
- 165
- Category
- Article
- ISSN
- 0021-8693
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Previously we obtained a Picard᎐Brauer five term exact sequence for a symmetric monoidal functor between closed categories. Here we construct the corresponding sequence using the closed category of H-modules for a cocommutative Hopf algebra H.
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