Artículo
A constructive method to determine the variety of filiform Lie algebras
Autor/es | Echarte Reula, Francisco Javier
Márquez García, María del Carmen Núñez Valdés, Juan |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2006-12 |
Fecha de depósito | 2016-05-27 |
Publicado en |
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Resumen | In this paper we use cohomology of Lie algebras to study the variety of laws
associated with filiform Lie algebras of a given dimension. As the main result, we describe a constructive way to find a small set of polynomials ... In this paper we use cohomology of Lie algebras to study the variety of laws associated with filiform Lie algebras of a given dimension. As the main result, we describe a constructive way to find a small set of polynomials which define this variety. It allows to improve previous results related with the cardinal of this set. We have also computed explicitly these polynomials in the case of dimensions 11 and 12. |
Cita | Echarte Reula, F.J., Márquez García, M.d.C. y Núñez Valdés, J. (2006). A constructive method to determine the variety of filiform Lie algebras. Czechoslovak Mathematical Journal, 56 (4), 1281-1299. |
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