Subalgebras of gl(3, ℝ)

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Subalgebras of gl(3, ℝ)

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Title: Subalgebras of gl(3, ℝ)
Author: Thompson, G.; Wick, Z.
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.
Date: 2012

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