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Complexes and Vanishing of Cohomology for Group Schemes

✍ Scribed by Christopher P Bendel; Daniel K Nakano

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 318 KB
Volume: 214
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7711

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✦ Synopsis

Completely reducible homology complexes were originally introduced in the context of finite groups and used to study the question of vanishing of cohomology. In this paper we study these complexes and the vanishing of cohomology for arbitrary finite-dimensional cocommutative Hopf algebras. Applications are later provided for infinitesimal group schemes of reductive and solvable algebraic groups.

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