Geodesic
On Certain Decompositions of Solvable Lie Algebras
David A. Towers1
1Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, England
Journal of Lie Theory, Tome 24 (2014) no. 4, pp. 969-978

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

The author has previously shown that solvable Lie A-algebras and complemented solvable Lie algebras decompose as a vector space direct sum of abelian subalgebras, and their ideals relate nicely to this decomposition. However, neither of these classes is contained in the other. The object of this paper is to find a larger class of algebras, containing each of these classes, in which these same results hold.
Classification : 17B05, 17B20, 17B30, 17B50
Mots-clés : Lie algebras, solvable, completely completely solvable, A-algebras, complemented, splitting, monolithic, Frattini ideal

David A. Towers  1

1 Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, England 
David A. Towers. On Certain Decompositions of Solvable Lie Algebras. Journal of Lie Theory, Tome 24 (2014) no. 4, pp. 969-978. http://geodesic.mathdoc.fr/item/JOLT_2014_24_4_a3/
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     title = {On {Certain} {Decompositions} of {Solvable} {Lie} {Algebras}},
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