RT Journal Article
T1 On Lie algebras whose nilradical is (n−p)-filiform
A1 Ancochea Bermúdez, José María
A1 Campoamor-Stursberg, Rutwig
AB 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.
PB Taylor & Francis
SN 0092-7872
YR 2001
FD 2001
LK https://hdl.handle.net/20.500.14352/58411
UL https://hdl.handle.net/20.500.14352/58411
LA eng
NO Goze, M.; Khakimyanov, Yu. Nilpotent Lie Algebras; Kluwer Academic Press: Dordrecht, 1996.Gómez, J.R.; Jiménez-Merchán, A.; Khakimyanov, Yu. Low dimensional filiform Lie Algebras. J. Pure Appl. Algebra, 1998, 130 (2), 133–158.Gómez, J.R.; Goze, M.; Khakimyanov, Yu. On the k-Abelian Filiform Lie Algebras. Comm. Algebra, 1997, 25 (2), 532–450.Goze, M.; Khakimyanov, Yu. Some Nilpotent Lie Algebras and its Applications. In Algebra and Operator theory, Proceedings of the Colloquium Tashkent, 1997, 49–64.Carles, R. Sur Certain Classes d’alg`ebres de Lie. Math. Ann. 1985, 272, 477–488.Ancochea, J.M. On the Rigidity of Solvable Lie Algebras. ASI NATO, Serie C247, 1986, 403–445.Goze, M. Perturbations of Lie Algebras. ASI NATO, Serie C247, 1986, 265–356.Cabezas, J.M.; Gómez, J.R.; Jiménez-Merchán, A. A Family of p-Filfiorm Lie Algebras. In Algebra and Operator Theory, Proceedings of the Colloquium of Tashkent, 1997, 93–102.Carles, R. Sur la Structure des algèbres de Lie Rigides. Ann. Inst. Fourier, 1984, 302, 611–613.Goze, M.; Khakimyanov, Yu. Sur les algèbres de Lie admettant un tore des dérivations. Manuscripta Math. 1994, 84, 115–124.
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 7 may 2024