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The Quarterly Journal of Mathematics 2005 56(1):111-121; doi:10.1093/qmath/hah025
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© The Author (2005). Published by Oxford University Press. All rights reserved. For Permissions please email: journals.permissions@oupjournals.org

Quasi-hereditary quotients of finite Chevalley groups and Frobenius kernels

Maud de Visscher *

School of Mathematical Sciences, Queen Mary College, University of London, Mile End Road, London E1 4NS

Let G be a semisimple connected simply connected linear algebraic group over an algebraically closed field k of characteristic p > 0. Denote by Gn its nth Frobenius kernel and by G(pn) its finite subgroup of Fpn-rational points. In this paper we find quotients of the algebra Un = k[Gn]* and of the group algebra kG(pn) whose module category is equivalent to a (highest weight) subcategory of the category of rational G-modules.

Received 31 October 2003.

* E-mail: m.devisscher{at}qmul.ac.uk


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