Restricted lie algebra cohomology
The cohomology of restricted Lie algebras was first defined by Hochschild in 1954, cf.. It was however only recently that one could get more precise information about these cohomology groups in non-trivial cases. The most fascinating result is still the theorem (proved by Friedlander and Parshall) that for large p the cohomology ring of the Lie algebra of a reductive algebraic group is the ring of regular functions on the nilpotent cone in this Lie algebra. It is the purpose of this article to give a survey of recent developments in this theory.
Throughout this paper let k be an algebraically closed field with char(k)=p≠0.
KeywordsHopf Algebra Algebraic Group Spectral Sequence Projective Resolution Forgetful Functor
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