Simple Lie algebras and their classification

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http://eprints.org/relation/isVolatileVersionOf http://etheses.bham.ac.uk/id/document/1933 http://eprints.org/relation/ispreviewThumbnailVersionOf http://etheses.bham.ac.uk/id/document/1933 http://eprints.org/relation/isVersionOf http://etheses.bham.ac.uk/id/document/1933 archive 4031 disk0/00/00/07/95 2010-06-29 13:58:15 2019-01-23 09:52:52 2011-07-19 16:23:27 thesis show 0 Tsonev Dragomir Mitkov Goodwin Simon Parker Christopher University of Birmingham Simple Lie algebras and their classification unpub QA 10col_ephy 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case as well as stating the latest results on this matter. 2010-07 2009-09 graduation eng author unchecked This unpublished thesis/dissertation is copyright of the author and/or third parties. The intellectual property rights of the author or third parties in respect of this work are as defined by The Copyright Designs and Patents Act 1988 or as modified by any successor legislation. Any use made of information contained in this thesis/dissertation must be in accordance with that legislation and must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the permission of the copyright holder. public 79 University of Birmingham School of Mathematics m_ph FALSE na 2010-07 graduation