250117 VO Lie Algebra and representation theory (2013S)

Basics of the relation of Lie algebras to groups (of symmetries); Rough classification of Lie algebras (solvable, nilpotent, semisimple, etc.); Structure theory and representation theory of complex semisimple Lie algebras (roots, weights, etc.), in particular for the classical Lie algebras; Techniques for analyzing finite dimensional representations.