c-Graded filiform Lie algebras |
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Authors: | F J Echarte M C Márquez J Núñez |
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Institution: | (1) Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, 1160, 41080–Sevilla, ESPAÑA |
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Abstract: | In this paper we generalize naturally graded filiform Lie algebras as well as filiform Lie algebras admitting a connected gradation of maximal length, by introducing the concept of c-graded complex filiform Lie algebras. We deal with the particular case of 3-graded filiform Lie algebras and we obtain their classification in arbitrary dimension. We finally show a link among derived algebras, graded filiform and rigid solvable Lie algebras. |
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Keywords: | characteristically nilpotent Lie algebras graded filiform Lie algebras rigid solvable Lie algebras |
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