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Wilfrid Laurier University

2018

Maximal Dimension

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Abelian Subalgebras Of Maximal Dimension In Euclidean Lie Algebras, Mark Curro Jan 2018

Abelian Subalgebras Of Maximal Dimension In Euclidean Lie Algebras, Mark Curro

Theses and Dissertations (Comprehensive)

In this paper we define, discuss and prove the uniqueness of the abelian subalgebra of maximal dimension of the Euclidean Lie algebra. We also construct a family of maximal abelian subalgebras and prove that they are maximal.