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Lie algebras all of whose proper subalgebras are nilpotent

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published
<mark>Journal publication date</mark>1980
<mark>Journal</mark>Linear Algebra and its Applications
Volume32
Number of pages13
Pages (from-to)61-73
Publication StatusPublished
<mark>Original language</mark>English

Abstract

Non-nilpotent Lie algebras all of whose proper subalgebras are nilpotent are studied. A fairly complete description is given of the non-perfect algebras in this class over a wide range of fields (including all perfect fields).