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Lie algebras whose maximal subalgebras are modular

Published online by Cambridge University Press:  14 November 2011

V. R. Varea
V. R. Varea
Affiliation:
Department of Algebra, University of Zaragoza, Spain
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Synopsis

A subalgebra M of a Lie algebra L is called modular in L if M is a modular element in the lattice of the subalgebras of L. Our aim is to study the finite-dimensional Lie algebras all of whose maximal subalgebras are modular. We characterize these algebras over any field of characteristic zero.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 94 , Issue 1-2 , 1983 , pp. 9 - 13
Copyright
Copyright © Royal Society of Edinburgh 1983

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