Notes on Lie Algebras
Amber Habib |
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These are the notes (in PDF) for five lectures given to introduce Lie Algebras to the participants of the Workshop on Group Theory held from December 18, 2006 to January 5, 2007 at the Indian Statistical Institute, Bangalore Centre. The theme of the workshop was the classification of reductive algebraic groups.
Lecture 1 | Basic Definitions and Examples |
Lecture 2 | Ideals, Quotients & Homomorphisms |
Lecture 3 | Inner Automorphisms, Solvable and Nilpotent Lie Algebras |
Lecture 4 | Theorems of Engel and Lie |
Lecture 5 | Jordan Decomposition, Cartan�s Criterion and the Killing Form |