Semisimple Lie Algebras

Credits 8 credit points
Instructors Opdam, E.M. (Universiteit van Amsterdam), Stokman, J.V. (Universiteit van Amsterdam)
Aim Acquaintance with semisimple Lie algebras and their representation theory.
Description 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.
Organization Lectures and exercise classes.
Examination 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.
xii+171 pp.

Prerequisites Bachelor mathematics or physics.

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  Last changed: 09-04-2014 16:35