1. J. E. Humphreys, Introduction to Lie Algebras and Representation Theory, Graduate Texts in Mathematics 9 (Springer-Verlag, 1972, reprinted 1997). Chapters 1-3 are relevant and part of the course will follow Chapter 3 closely.
  2. B. Hall, Lie Groups, Lie Algebras, and Representations. An Elementary Introduction, Graduate Texts in Mathematics 222 (Springer-Verlag, 2003).
  3. K. Erdmann, M. J. Wildon, Introduction to Lie Algebras (Springer-Verlag, 2006), ISBN: 1846280400.
Further Reading:
  1. J.-P. Serre, Complex Semisimple Lie Algebras (Springer, 1987). Rather condensed, assumes the basic results. Very elegant proofs.
  2. N. Bourbaki, Lie Algebras and Lie Groups (Masson, 1982). Chapters 1 and 4-6 are relevant; this text fills in some of the gaps in Serre's text.
  3. William Fulton, Joe Harris, Representation theory: a first course, GTM, Springer.
Last modified: Tuesday, 14 March 2023, 7:30 PM