||8 credit points
||Opdam, E.M. (Universiteit van Amsterdam), Stokman, J.V. (Universiteit van Amsterdam)
||Bachelor mathematics or physics.
||Acquaintance with semisimple Lie algebras and their representation theory.
||The course provides a basic introduction to the theory of semisimple Lie algebras. Lie algebras are linear approximations of infinite smooth groups. Semisimple Lie algebras form an important subclass which play a profound role in problems of mathematics and physics in the presence of symmetries.
Topics covered in the course are: nilpotent and solvable Lie algebras, structure theory and classification of semisimple Lie algebras, universal enveloping algebras and representation theory of semisimple Lie algebras.
||Lectures and exercise classes.
||Homework exercises and take-home exam.
J.E. Humphreys, " Introduction to Lie algebras and representation theory", Graduate Texts in Mathematics, 9. Springer-Verlag, New York-Berlin, 1978.