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Lie Algebras, Algebraic Groups, and Lie Groups

lie algebras , Algebraic Groups ,andLie MilneVersion 5, 2013 These notes are an introduction to lie algebras , Algebraic Groups , and Lie Groups incharacteristic zero, emphasizing the relationships between these objects visible in their cat-egories of representations. Eventually these notes will consist of three chapters, each about100 pages long, and a short information:@misc{milneLAG,author={Milne , James S.},title={ lie algebras , Algebraic Groups , and Lie Groups },year={2013},note={Available at }} 11, 2012; 142 1, 2013; 186 send comments and corrections to me at the address on my photo is of a grotto on The Peak That Flew Here, Hangzhou, Zhejiang, 2012, 2013 paper copies for noncommercial personal use may be made without explicit permis-sion from the copyright of ContentsTable of Contents3 Preface ..5 ILie Algebras111 Definitions and basic properties.

Lie Algebras, Algebraic Groups, and Lie Groups J.S. Milne Version 2.00 May 5, 2013

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