Publication: On Lie algebras whose nilradical is (n−p)-filiform
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Publication Date
2001
Authors
Campoamor-Stursberg, Rutwig
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Taylor & Francis
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Abstract
We prove first that every (n − p)-filiform Lie algebra, p ≤ 3, is the nilradical of a solvable, nonnilpotent rigid Lie algebra. We also analize howthis result extends to (n − 4)-filiform Lie algebras. For this purpose, we give a classificaction of these algebras and then determine which of the obtained classes appear as the nilradical of a rigid algebra.
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