Restricted lie algebra cohomology

  • J. C. Jantzen
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1271)


The cohomology of restricted Lie algebras was first defined by Hochschild in 1954, cf.[11]. 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.


Hopf Algebra Algebraic Group Spectral Sequence Projective Resolution Forgetful Functor 
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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • J. C. Jantzen
    • 1
  1. 1.Mathematisches SeminarUniversität HamburgHamburg 13

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