Noncomplete affine structures on Lie algebras of maximal class.
Remm, E., Goze, Michel (2002)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Left-symmetric algebras, or pre-Lie algebras in geometry and physics”
Noncomplete affine structures on Lie algebras of maximal class.
An overview of free nilpotent Lie algebras
Pilar Benito, Daniel de-la-Concepción (2014)
Commentationes Mathematicae Universitatis Carolinae
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Any nilpotent Lie algebra is a quotient of a free nilpotent Lie algebra of the same nilindex and type. In this paper we review some nice features of the class of free nilpotent Lie algebras. We will focus on the survey of Lie algebras of derivations and groups of automorphisms of this class of algebras. Three research projects on nilpotent Lie algebras will be mentioned.
Complex nilpotent Lie algebras of dimension 7 which are not derived from others.
Francisco J. Echarte, José R. Gómez, Juan Núñez (1994)
Extracta Mathematicae
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An improvement of a result of I. N. Stewart
Jan de Ruiter (1972)
Compositio Mathematica
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A computer-based approach to the classification of nilpotent Lie algebras.
Schneider, Csaba (2005)
Experimental Mathematics
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On derivations of Lie algebras
J. de Ruiter (1974)
Compositio Mathematica
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Contractions of Lie algebras and algebraic groups
Dietrich Burde (2007)
Archivum Mathematicum
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Degenerations, contractions and deformations of various algebraic structures play an important role in mathematics and physics. There are many different definitions and special cases of these notions. We try to give a general definition which unifies these notions and shows the connections among them. Here we focus on contractions of Lie algebras and algebraic groups.