✦ LIBER ✦

The five-dimensional complete left-symmetric algebra structures compatible with an abelian Lie algebra structure

✍ Scribed by Karel Dekimpe; Paul Igodt; Veerle Ongenae

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 832 KB
Volume: 263
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(96)00591-5

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✦ Synopsis

The classification of five-dimensional complete left-symmetric algebras is known to be a hard problem. In this paper we establish an explicit classification of the five-dimensional complete left-symmetric algebras over R, having an abetian associated Lie algebra. A detailed list of all possible isomorphism types is presented.