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On characteristically nilpotent Lie algebras of type Q

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http://www.sciencedirect.com/science/article/pii/S0024379502006183
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2003-07-01
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Campoamor-Stursberg, Rutwig
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Elsevier Science
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Abstract
We construct large families of characteristically nilpotent Lie algebras by analyzing the centralizers of the ideals in the central descending sequence of the Lie algebraQn and deforming its extensions preserving the structure of these centralizers and the natural graduation. This provides characteristically nilpotent Lie algebras in any dimension and mixed characteristic sequences.
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Álgebra
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1201 Álgebra
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J.M. Ancochea, M. Goze, On the variety of nilpotent Lie algebras in dimension 7 and 8, J. Pure Appl. Algebra 77 (1992) 131–140. J.M. Ancochea, M. Goze, Sur la classification des algèbres de Lie nilpotentes de dimension 7, C.R. Acad. Sci. Paris 302 (1986) 611–613. J.M. Ancochea, R. Campoamor, On 2-abelian (n − 5)-filiform Lie algebras, Comm. Algebra 29 (2001) 3199–3222. J.M. Ancochea, R. Campoamor, On certain families of naturally graded Lie algebras, J. Pure Appl. Algebra 170 (2002) 1–27. R. Carles, Sur les algèbres caractéristiquement nilpotentes, Publ. Univ. Poitiers, 1984. J. Dixmier, W.G. Lister, Derivations of nilpotent Lie algebras, Proc. Amer. Math. Soc. 8 (1957) 155–157. Yu.B. Khakimdjanov, Characteristically nilpotent Lie algebras, Math. USSR Sbornik 70 (1991) 1. J.L. Koszul, Homologie et cohomologie des algèbres de Lie, Bull. Soc. Math. France 78 (1950) 65–127. G.F. Leger, S. Tôgô, Characteristically nilpotent Lie algebras, Duke Math. J. 26 (1959) 623–628. E. Luks, What is the typical nilpotent Lie algebra? Computers in Nonassociative Rings and Algebras Academic Press, New York, 1977. M. Vergne, Cohomologie des algèbres de Lie nilpotentes. Applications a l’étude de la variété des algèbres de Lie nilpotentes, Bull. Soc. Math. France 98 (1970) 81–116. S. Yamaguchi, Derivations and affine structures of some nilpotent Lie algebras, Mem. Fac. Sci. Kyushu Univ. Ser. A 34 (1980) 151–170.
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https://hdl.handle.net/20.500.14352/50574
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