Introduction to lie algebras and representation theory an excellent introduction to the subject ideal for a one semester graduate coursethe american mathematical monthly exceptionally well written and ideally suited either for independent reading or as a text for an introduction to lie algebras and their representationsmathematical reviews. For anybody interested in offering an undergraduate course on lie algebras perhaps say as a senior seminar today i would recommend erdmann and wildons introduction to lie algebras also published by springer in a different series or if you want a course more focused on representation theory than on the classification theory . This book is designed to introduce the reader to the theory of semisimple lie algebras over an algebraically closed field of characteristic 0 with emphasis on representations a good knowledge of linear algebra including eigenvalues bilinear forms euclidean spaces and tensor products of vector. If time permits we may study lie algebras over the field of real numbers or look at jordan algebras references bourbaki nicolas groupes et algbres de lie 1 hermann 1954 humphreys james e introduction to lie algebras and representation theory second printing revised graduate texts in mathematics 9 springer verlag new york berlin . Introduction to lie algebras and representation theory 10 cohen a course in simple homotopy theory foundations of differentiable manifolds and lie groups graduate texts in mathematics 94 c c moore california at berkeley department of mathematics chevalleys theory of lie groups to which i am greatly indebted
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