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Classes of unipotent elements in simple algebraic groups. I

Published online by Cambridge University Press:  24 October 2008

P. Bala  and
R. W. Carter
P. Bala
Affiliation:
Mathematics Institue, University of Warwick, Coventry
R. W. Carter
Affiliation:
Mathematics Institue, University of Warwick, Coventry
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Extract

Let G be a simple adjoint algebraic group over an algebraically closed field K. We are concerned to describe the conjugacy classes of unipotent elements of G. G operates on its Lie algebra g by means of the adjoint action and we may consider classes of nilpotent elements of g under this action. It has been shown by Springer (11) that there is a bijection between the unipotent elements of G and the nilpotent elements of g which preserves the G-action, provided that the characteristic of K is either 0 or a ‘good prime’ for G. Thus we may concentrate on the problem of classifying the nilpotent elements of g under the adjoint G-action.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 79 , Issue 3 , May 1976 , pp. 401 - 425
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

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