Author:
Holt D. F.,Spaltenstein N.
Abstract
AbstractThe 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.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
Reference24 articles.
1. [7] Jeurissen R. H. , The automorphism groups of octave algebras (Doctoral dissertation, University of Utrecht).
2. An algorithm for the computation of conjugacy classes and centralizers in p-groups
3. Nilpotency in classical groups over a field of characteristic 2
4. Nilpotent classes in Lie algebras of type F4 over fields of characteristic 2;Spaltenstein;J. Fac. Sci. Univ. Tokyo Sect. 1A Math.,1984
5. On Springer's correspondence for simple groups of type En (n = 6, 7, 8)
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