Generator and relation ranks for finite-dimensional nilpotent Lie algebras.
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Algebra i Logika
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Algebra i Logika
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Mihai Sabac (1996)
Collectanea Mathematica
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In what follows we shall describe, in terms of some commutation properties, a method which gives nilpotent elements. Using this method we shall describe the irreducibility for Lie algebras which have Levi-Malçev decomposition property.
Schneider, Csaba (2005)
Experimental Mathematics
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Ian Stewart (1976)
Compositio Mathematica
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I. N. Stewart (1970)
Compositio Mathematica
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Luis A. Cordero, Marisa Fernández, Alfred Gray, Luis Ugarte (2001)
RACSAM
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Este artículo presenta un panorama de algunos resultados recientes sobre estructuras complejas nilpotentes J definidas sobre nilvariedades compactas. Tratamos el problema de clasificación de nilvariedades compactas que admiten una tal J, el estudio de un modelo minimal de Dolbeault y su formalidad, y la construcción de estructuras complejas nilpotentes para las cuales la sucesión espectral de Frölicher no colapsa en el segundo término.
Francisco J. Echarte, José R. Gómez, Juan Núñez (1994)
Extracta Mathematicae
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Burde, Dietrich (1999)
Journal of Lie Theory
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Katja Sagerschnig (2006)
Archivum Mathematicum
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In his famous five variables paper Elie Cartan showed that one can canonically associate to a generic rank 2 distribution on a 5 dimensional manifold a Cartan geometry modeled on the homogeneous space , where is one of the maximal parabolic subgroups of the exceptional Lie group . In this article, we use the algebra of split octonions to give an explicit global description of the distribution corresponding to the homogeneous model.