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RESTRICTIONS OF ALGEBRAIC GROUP REPRESENTATIONS TO FINITE SUBGROUPS

Published online by Cambridge University Press:  15 March 2002

HARM DERKSEN
HARM DERKSEN
Affiliation:
Department of Mathematics, University of Michigan, East Hall, 525 East University, Ann Arbor, MI 48109-1109, USAhderksen@umich.edu
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Abstract

Suppose that H is a finite subgroup of a linear algebraic group, G. It was proved by Donkin that there exists a finite-dimensional rational representation of G whose restriction to H is free. This paper gives a short proof of this in characteristic 0. The author also studies more closely which representations of H can appear as a restriction of G.

Type
PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 2 , March 2002 , pp. 165 - 173
Copyright
© 2002 The London Mathematical Society

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