COHOMOLOGY OF FINITE GROUP SCHEMES OVER A FIELD

@inproceedings{Friedlander1996COHOMOLOGYOF,
  title={COHOMOLOGY OF FINITE GROUP SCHEMES OVER A FIELD},
  author={Eric Friedlander and Andrei Alexandrovich Suslin},
  year={1996}
}
A finite group scheme G over a field k is equivalent to its coordinate algebra, a finite dimensional commutative Hopf algebra k[G] over k. In many contexts, it is natural to consider the rational (or Hochschild) cohomology of G with coefficients in a k[G]-comodule M . This is naturally isomorphic to the cohomology of the dual cocommutative Hopf algebra k[G] with coefficients in the k[G]-module M . In this latter formulation, we encounter familiar examples of the cohomology of group algebras k… CONTINUE READING
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References

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Showing 1-10 of 17 references

Representations of algebraic groups (Academic Press

J. Jantzen
ed.) • 1987
View 7 Excerpts
Highly Influenced

Generic representation of the finite general linear group and the Steenrod algebra: I, Amer

N. Kuhn
Journal 9 (no • 1994

Pirashvili, Cohomology of algebraic theories

T. JP M. Jibladze
J. of Algebra • 1991

On Schur Algebras and related algebra, II

S. Donkin
J. of Algebra 111, no • 1987

Cohomology of infinitesimal and discrete groups

E. Friedlander, B. Parshall
Mathematische Annalen • 1986

On Schur Algebras and related algebra, I

S. Donkin
J. of Algebra 104, no • 1986

On the cohomology of algebraic and related finite groups

E. Friedlander, B. Parshall
Inventiones Math • 1983

Polynomial representations of GLn (Springer-Verlag

J. A. Green
Lecture Notes in Math 830, ed.) • 1980
View 1 Excerpt

Twisted homological stability for general lienar groups

W. Dwyer
Annals of Math • 1980