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Almost nilpotent Lie algebras

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Almost nilpotent Lie algebras. / Towers, David.

In: Glasgow Mathematical Journal, Vol. 29, No. 1, 1987, p. 7-11.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Towers, D 1987, 'Almost nilpotent Lie algebras', Glasgow Mathematical Journal, vol. 29, no. 1, pp. 7-11. https://doi.org/10.1017/S0017089500006625

APA

Towers, D. (1987). Almost nilpotent Lie algebras. Glasgow Mathematical Journal, 29(1), 7-11. https://doi.org/10.1017/S0017089500006625

Vancouver

Author

Towers, David. / Almost nilpotent Lie algebras. In: Glasgow Mathematical Journal. 1987 ; Vol. 29, No. 1. pp. 7-11.

Bibtex

@article{eeb0d7f8d55f4eed9a472947342f05e9,
title = "Almost nilpotent Lie algebras",
abstract = "Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of their subalgebra lattices. The same is true of the classes of simple and of semisimple Lie algebras of dimension greater than three. However, it is not true of the class of nilpotent Lie algebras. We seek here the smallest class containing all nilpotent Lie algebras which is so characterised.",
author = "David Towers",
note = "http://journals.cambridge.org/action/displayJournal?jid=GMJ The final, definitive version of this article has been published in the Journal, Glasgow Mathematical Journal, 29 (1), pp 7-11 1987, {\textcopyright} 1987 Cambridge University Press.",
year = "1987",
doi = "10.1017/S0017089500006625",
language = "English",
volume = "29",
pages = "7--11",
journal = "Glasgow Mathematical Journal",
issn = "0017-0895",
publisher = "Cambridge University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Almost nilpotent Lie algebras

AU - Towers, David

N1 - http://journals.cambridge.org/action/displayJournal?jid=GMJ The final, definitive version of this article has been published in the Journal, Glasgow Mathematical Journal, 29 (1), pp 7-11 1987, © 1987 Cambridge University Press.

PY - 1987

Y1 - 1987

N2 - Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of their subalgebra lattices. The same is true of the classes of simple and of semisimple Lie algebras of dimension greater than three. However, it is not true of the class of nilpotent Lie algebras. We seek here the smallest class containing all nilpotent Lie algebras which is so characterised.

AB - Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of their subalgebra lattices. The same is true of the classes of simple and of semisimple Lie algebras of dimension greater than three. However, it is not true of the class of nilpotent Lie algebras. We seek here the smallest class containing all nilpotent Lie algebras which is so characterised.

U2 - 10.1017/S0017089500006625

DO - 10.1017/S0017089500006625

M3 - Journal article

VL - 29

SP - 7

EP - 11

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

SN - 0017-0895

IS - 1

ER -