Rational regular nilpotent elements of a reductive Lie algebra


David G. A. Jackson


Research Report 98-20
Date: 30 July 1998


The aim of this paper is give an exposition of some of the main properties of regular nilpotent elements of the Lie algebra of a reductive algebraic group (with not necessarily connected centre) defined over a finite field. The approach presented here will be based heavily on analogous work of Steinberg and Digne & Michel for regular unipotent elements.

Key phrases

regular element. nilpotent element. Lie algebra. reductive group.

AMS Subject Classification (1991)

Primary: 20G40
Secondary: 17B45


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