Year: 2009
Author: Mingzhong Wu
Communications in Mathematical Research , Vol. 25 (2009), Iss. 1 : pp. 1–8
Abstract
In this paper, we study the Lie algebras in which every subspace is its subalgebra (denoted by HB Lie algebras). We get that a nonabelian Lie algebra is an HB Lie algebra if and only if it is isomorphic to $g\dot{+}\mathbb{C}id_g$, where $g$ is an abelian Lie algebra. Moreover we show that the derivation algebra and the holomorph of a nonabelian HB Lie algebra are complete.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-CMR-19070
Communications in Mathematical Research , Vol. 25 (2009), Iss. 1 : pp. 1–8
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: HB Lie algebra complete Lie algebra holomorph.