Premet, Alexander and Stewart, David (2016) Rigid orbits and sheets in reductive Lie algebras over fields of prime characteristic. Journal of the Institute of Mathematics of Jussieu. ISSN 1749-9097 (In Press)
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Abstract
We classify the sheets and the rigid nilpotent orbits in reductive Lie algebras over fields of good characteristic and show that the distribution of nilpotent orbits amongst the sheets remains the same as in the characteristic zero case. We use GAP to determine the reachable and strongly reachable nilpotent orbits in all characteristics and provide some information on derived subalgebras of centralisers.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | reductive groups, Lie algebras, nilpotent orbits |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 17 Nonassociative rings and algebras MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations |
| Depositing User: | Professor Alexander Premet |
| Date Deposited: | 12 Mar 2016 |
| Last Modified: | 20 Oct 2017 14:13 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2449 |
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