Quasi-deformations of the special linear lie algebra of degree 2 using twisted derivations.
| dc.contributor.author | Sampa, Dominique | |
| dc.date.accessioned | 2025-08-25T06:51:49Z | |
| dc.date.available | 2025-08-25T06:51:49Z | |
| dc.date.issued | 2024 | |
| dc.description | Thesis of Master of Science in Mathematics. | |
| dc.description.abstract | In this dissertation we obtain quasi-deformations of the special linear Lie algebra of degree 2 over a eld F, abbreviated sl2(F). We take F to be a eld of characteristic zero. Our approach involves obtaining and deforming a linear operator representation of sl2(F) using-twisted derivations (with an endomorphism on the base algebra). One of the main points of this deformation method is that the deformed algebra comes endowed with a canonical twisted Jacobi identity. Furthermore, we show that by choosing parameters suitably we can deform sl2(F) into the Heisenberg Lie algebra and some other 3- and 4-dimensional Lie algebras in addition to more exotic types of algebras. This is in stark contrast to the usual classical deformation schemes where sl2(F) is rigid. | |
| dc.identifier.uri | https://dspace.unza.zm/handle/123456789/9396 | |
| dc.language.iso | en | |
| dc.publisher | The University of Zambia | |
| dc.title | Quasi-deformations of the special linear lie algebra of degree 2 using twisted derivations. | |
| dc.type | Thesis |