The focus of this thesis is to provide an introduction to Lie groups—the study of continuous symmetries—and related concepts. Starting with topology and geometry, progressing through the construction of Cayley-Dickson algebras, the thesis ultimately explores a few of the most common Lie groups. Finally, geometric and visual interpretations of SO(3) and SU(2), as well as the relations between them, are investigated.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:kth-349357 |
| Date | January 2024 |
| Creators | Redin, Love |
| Publisher | KTH, Skolan för teknikvetenskap (SCI) |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | TRITA-SCI-GRU ; 2024:171 |
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