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) |
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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 |