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Title: Subalgebras of gl(3, ℝ)
Authors: Thompson, G.
Wick, Z.
Keywords: Three-dimensional matrix;Lie algebra;Lie group;Solvable algebra;Non-trivial Levi decomposition;Matriz tridimensional;Álgebra de Lie;Grupo de Lie;Álgebra soluble;Descomposición de Levi no trivial
Issue Date: 2012
Publisher: Universidad de Extremadura
Abstract: This paper finds all subalgebras of gl(3, ℝ) up to change of basis in ℝ³. For each such algebra the corresponding matrix Lie subgroup of GL(3,ℝ) obtained by exponentiation is given. An interesting phenomenon is that for algebras of dimension three and higher one frequently encounters inequivalent subalgebras and subgroups, one obtained from the other, by transposing about the anti-diagonal.
Appears in Collections:Extracta Mathematicae Vol. 27, nº 2 (2012)

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