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On Derivations and Holomorphs of Nilpotent Lie Algebras

Published online by Cambridge University Press:  22 January 2016

G. Leger  and
E. Luks
G. Leger
Affiliation:
Tufts University Bucknell University
E. Luks
Affiliation:
Tufts University Bucknell University
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A linear Lie algebra is called toroidal if it is abelian and consists of semi-simple transformations. The maximum, t(L), of the dimensions of the toroidal subalgebras of the derivation algebra, Δ(L), is an invariant of L. This paper is mainly concerned with the relation between the magnitude of t(L) for nilpotent L and the structures of L and Δ(L).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 44 , December 1971 , pp. 39 - 50
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1971

References

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