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Title: Subspaces of real four-dimensional lie algebras: a classification of subalgebras, ideals, and full-rank subspaces
Authors: Biggs, Rory
Remsing, Claudiu C.
Keywords: Lie algebra;Subspace;Subalgebra;Ideal;Álgebra de Lie;Subespacio;Subalgebra
Issue Date: 2015
Publisher: Universidad de Extremadura
Abstract: We classify the subspaces of each real four-dimensional Lie algebra, up to automorphism. Enumerations of the subalgebras, ideals, and full-rank (or bracket generating) subspaces are obtained. Also, the interplay between quotients (resp. extensions) of algebras and such classifications is briefly considered.
Appears in Collections:Extracta Mathematicae Vol. 30, nº 1 (2015)

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