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The Wielandt Subalgebra of a Lie Algebra

Barnes, Donald W; Groves, Daniel


Following the analogy with group theory, we define the Wielandt subalgebra of a finite-dimensional Lie algebra to be the intersection of the normalisers of the subnormal subalgebras. In a non-zero algebra,this is a non-zero ideal if the ground field has characteristic 0 or if the derived algebra is nilpotent, allowing the definition of the Wielandt series. For a Lie algebra with nilpotent derived algebra, we obtain a bound for the derived length in terms of the Wielandt length and show this...[Show more]

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
Source: Journal of the Australian Mathematical Society


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