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Nilpotent orbits of exceptional Lie algebras over algebraically closed fields of bad characteristic

Part of: Linear algebraic groups and related topics Lie algebras and Lie superalgebras

Published online by Cambridge University Press:  09 April 2009

D. F. Holt  and
N. Spaltenstein
D. F. Holt
Affiliation:
Mathematics Institute University of WarwickCoventry, England
N. Spaltenstein
Affiliation:
Mathamatisches Institut der Universität BernSidlerstrasse 5 3012 Bern, Switzerland
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Abstract

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The classification of the nilpotent orbits in the Lie algebra of a reductive algebraic group (over an algebraically closed field) is given in all the cases where it was not previously known (E7 and E8 in bad characteristic, F4 in characteristic 3). The paper exploits the tight relation with the corresponding situation over a finite field. A computer is used to study this case for suitable choices of the finite field.

MSC classification

Secondary: 20G99: None of the above, but in this section 17B25: Exceptional (super)algebras 17B45: Lie algebras of linear algebraic groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 38 , Issue 3 , June 1985 , pp. 330 - 350
Copyright
Copyright © Australian Mathematical Society 1985

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