Digital Commons - USU (Utah State University)· 2020
Semisimple Subalgebras of Semisimple Lie Algebras
- 463citations
- 2020year
Short summary
This thesis introduces a software toolkit for classifying subalgebras of Lie algebras, specifically focusing on those isomorphic to sl(2) and regular subalgebras.
AI-generated from the title and abstract; the full text is not read.
Key points
- Develops a software toolkit for classifying Lie algebra subalgebras.
- Focuses on classifying subalgebras isomorphic to sl(2).
- Includes classification of regular subalgebras (basis aligned with root space decomposition).
AI-generated from the title and abstract; the full text is not read.
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).
The authors' abstract, as published at the source. Digital Commons - USU (Utah State University), 2020 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics