Tsonev, Dragomir Mitkov (2010). Simple Lie algebras and their classification. University of Birmingham. M.Phil.
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Abstract
This thesis is about the classification of simple Lie algebras. We start with some basic structure theory given in Chapter 2. Thereafter in Chapters 3 to 5 we give the complete classification over a field of characteristic zero. In Chapter 6 we discuss the notion ofChevalley basis which is important for the definition of classical Lie algebras over a field of positive characteristic. We end up in Chapter 7 with providing the basic notions about the positive characteristic case as well as stating the latest results on this matter.
| Type of Work: | Thesis (Masters by Research > M.Phil.) | |||||||||
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| Award Type: | Masters by Research > M.Phil. | |||||||||
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| College/Faculty: | Colleges (2008 onwards) > College of Engineering & Physical Sciences | |||||||||
| School or Department: | School of Mathematics | |||||||||
| Funders: | None/not applicable | |||||||||
| Subjects: | Q Science > QA Mathematics | |||||||||
| URI: | http://etheses.bham.ac.uk/id/eprint/795 |
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