| Course: | MTH 3386, Lie Theory |
| Instructor: | Andrei Zelevinsky |
| Time and Place: | Mon. & Wed. at 5:30 - 7:00 PM, in 544 NI |
| Prerequisites: | MTH 3102, Algebra 1; MTH 3104, Algebra 2 |
| Textbook: | W. Fulton, J. Harris. Representation Theory. A first course (Grad. Texts in Math. 129), Springer-Verlag, 1991 |
Lie theory provides a foundation for the whole body of modern mathematics. We will discuss basic properties of Lie groups and Lie algebras, their relationships and their representations. The course will focus on the famous Cartan-Killing classification, and we will try to approach it from different angles: algebraic (complex semisimple Lie algebras), analytic (compact Lie groups), and algebraic-geometric (complex semisimple algebraic groups).
Created: April 4, 1998. Last modified: April 4, 1998.