Geodesic
Economizing Brackets to Define Filiform Lie Algebras
Juan Núñez Valdés1
1Dep. de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, P. O. 1160, 41080 Sevilla, Spain
Journal of Lie Theory, Tome 18 (2008) no. 4, pp. 951-959

Voir la notice de l'article provenant de la source Heldermann Verlag

It is usual to define the law of a Lie algebra by giving explicitly the nonzero brackets between the elements of one of its bases. However, this paper shows that it is possible to reduce significatively the number of the brackets which are normally indicated when defining a filiform Lie algebra. Indeed, two particular families of brackets are considered and it is proved that the algebra can be defined by using only the elements of anyone of them.
Classification : 17B30, 17B70
Mots-clés : Brackets, Lie algebras, filiform Lie algebras

Juan Núñez Valdés  1

1 Dep. de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, P. O. 1160, 41080 Sevilla, Spain 
Juan Núñez Valdés. Economizing Brackets to Define Filiform Lie Algebras. Journal of Lie Theory, Tome 18 (2008) no. 4, pp. 951-959. http://geodesic.mathdoc.fr/item/JOLT_2008_18_4_a13/
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     title = {Economizing {Brackets} to {Define} {Filiform} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {951--959},
     year = {2008},
     volume = {18},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2008_18_4_a13/}
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