THE 5-DIMENSIONAL COMPLETE LEFT-SYMMETRICAL ALGEBRA STRUCTURES COMPATIBLE WITH AN ABELIAN LIE-ALGEBRA STRUCTURE

Authors
DEKIMPE K IGODT P ONGENAE V
Citation
K. Dekimpe et al., THE 5-DIMENSIONAL COMPLETE LEFT-SYMMETRICAL ALGEBRA STRUCTURES COMPATIBLE WITH AN ABELIAN LIE-ALGEBRA STRUCTURE, Linear algebra and its applications, 263, 1997, pp. 349-375
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
263
Year of publication
1997
Pages
349 - 375
Database
ISI
SICI code
0024-3795(1997)263:<349:T5CLAS>2.0.ZU;2-I
Abstract
The classification of five-dimensional complete left-symmetric algebra s is known to be a hard problem. In this paper we establish an explici t classification of the five-dimensional complete left-symmetric algeb ras over R, having an abelian associated Lie algebra. A detailed list of all possible isomorphism types is presented. (C) 1997 Elsevier Scie nce Inc.