# Centres of Centralizers of Unipotent Elements in Simple Algebraic Groups

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*R. Lawther; D. M. Testerman*

#### Table of Contents

# Table of Contents

## Centres of Centralizers of Unipotent Elements in Simple Algebraic Groups

- 1. Introduction 18 free
- 2. Notation and preliminary results 512 free
- 3. Reduction of the problem 1017
- 4. Classical groups 1421
- 5. Exceptional groups: Nilpotent orbit representatives 2229
- 6. Associated cocharacters 3340
- 7. The connected centralizer 3542
- 8. A composition series for the Lie algebra centralizer 4249
- 9. The Lie algebra of the centre of the centralizer 4855
- 10. Proofs of the main theorems for exceptional groups 6572
- 11. Detailed results 7178
- References 187194