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A constructive method to determine the variety of filiform Lie algebras
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1281-1299 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 17B30, 17B56
Keywords: cohomology of nilpotent Lie algebras; graded filiform Lie algebras; variety of laws of filiform Lie algebras; irreducible component; algorithm 
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     title = {A constructive method to determine the variety of filiform {Lie} algebras},
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Echarte, F. J.; Márquez, M. C.; Núñez, J. A constructive method to determine the variety of filiform Lie algebras. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1281-1299. http://geodesic.mathdoc.fr/item/CMJ_2006_56_4_a14/

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