Date of Award:
5-2020
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Committee Chair(s)
Ian Anderson
Committee
Ian Anderson
Committee
Mark Fels
Committee
Zhaohu Nie
Abstract
Let g be a Lie algebra. The subalgebra classification problem is to create a list of all subalgebras of g up to equivalence. The purpose of this thesis is to provide a software toolkit within the Differential Geometry package of Maple for classifying subalgebras of In particular the thesis will focus on classifying those subalgebras which are isomorphic to the Lie algebra sl(2) and those subalgebras of which have a basis aligned with the root space decomposition (regular subalgebras).
Checksum
5c42cce3062eec979193458b10afcfba
Recommended Citation
Parker, Mychelle, "Semisimple Subalgebras of Semisimple Lie Algebras" (2020). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 7713.
https://digitalcommons.usu.edu/etd/7713
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