Nilpotent orbits of exceptional Lie algebras over algebraically closed fields of bad characteristic

Holt, D. F.; Spaltenstein, N. (1985). Nilpotent orbits of exceptional Lie algebras over algebraically closed fields of bad characteristic. Journal of the Australian Mathematical Society, 38(3), pp. 330-350. Cambridge University Press 10.1017/S1446788700023636

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The 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.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

Subjects:

500 Science > 510 Mathematics

ISSN:

1446-7887

Publisher:

Cambridge University Press

Language:

English

Submitter:

Marceline Brodmann

Date Deposited:

21 Jul 2020 10:35

Last Modified:

19 Jul 2024 18:15

Publisher DOI:

10.1017/S1446788700023636

BORIS DOI:

10.7892/boris.115963

URI:

https://boris.unibe.ch/id/eprint/115963

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