# 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} }

- Published 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

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

## Pirashvili, Cohomology of algebraic theories

## On Schur Algebras and related algebra, II

## Cohomology of infinitesimal and discrete groups

## On Schur Algebras and related algebra, I

## On the cohomology of algebraic and related finite groups

## Polynomial representations of GLn (Springer-Verlag

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