A Lie algebra is called complete if its centre is zero and all its derivations are inner. A nilpotent Lie algebra is called completable if it is the maximal nilpotent ideal of a complete solvable Lie algebra. A two-step nilpotent Lie algebra is said to be of type , if dim and dim . In this paper, based on the classification result of M. Gauger, we classify two step completable complex nilpotent Lie algebras of type.
机构:
Univ Luxembourg, Math Res Unit, L-1359 Luxembourg, Luxembourg
Univ Lorraine, Inst Elie Cartan Lorraine, UMR 7502, F-57045 Metz 01, FranceUniv Luxembourg, Math Res Unit, L-1359 Luxembourg, Luxembourg
Guenther, Janne-Kathrin
Ludwig, Jean
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机构:
Univ Lorraine, Inst Elie Cartan Lorraine, UMR 7502, F-57045 Metz 01, FranceUniv Luxembourg, Math Res Unit, L-1359 Luxembourg, Luxembourg
Ludwig, Jean
REVISTA MATEMATICA COMPLUTENSE,
2016,
29
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