Rational regular nilpotent elements of a reductive Lie algebra

Author

David G. A. Jackson

Status

Research Report 98-20
Date: 30 July 1998

Abstract

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

Content

The paper is available in the following forms:

TeX dvi format:: 1998-20.dvi.gz (19kB) or 1998-20.dvi (48kB)
PostScript:: 1998-20.ps.gz (49kB) or 1998-20.ps (165kB)

To minimize network load, please choose the smaller gzipped .gz form if and only if your browser client supports it.

Sydney Mathematics and Statistics