Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-09T08:01:51.125Z Has data issue: false hasContentIssue false

RESTRICTIONS OF ALGEBRAIC GROUP REPRESENTATIONS TO FINITE SUBGROUPS

Published online by Cambridge University Press:  15 March 2002

HARM DERKSEN
Affiliation:
Department of Mathematics, University of Michigan, East Hall, 525 East University, Ann Arbor, MI 48109-1109, [email protected]
Get access

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
Copyright
© 2002 The London Mathematical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)