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- Title
c-Graded filiform Lie algebras.
- Authors
Echarte, F. J.; Márquez, M. C.; Núñez, J.
- 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 ofc-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.
- Subjects
LIE algebras; LINEAR algebra; LIE groups; GENERALIZED spaces; MATHEMATICAL analysis; DIMENSION theory (Algebra)
- Publication
Bulletin of the Brazilian Mathematical Society, 2005, Vol 36, Issue 1, p59
- ISSN
1678-7544
- Publication type
Article
- DOI
10.1007/s00574-005-0028-0