Course Descriptions

16:640:550 - Lie Algebra

Fall 2021 - Vladimir Retakh

Course Description:

This course will be an introduction to the theory of semisimple Lie algebras.

We will carry out the Cartan-Killing classification of semisimple Lie algebras, and the Cartan-Weyl classification of their irreducible finite-dimensional representations A lot of examples will be considered.

The only prerequisite is a good understanding of linear algebra. Thus the course should be accessible to first and second year graduate students, and even to advanced undergraduate students. This course will be of interest to students planning to work in Lie groups, differential geometry and topology, harmonic analysis, Lie algebras, algebra and algebraic geometry, mathematical and theoretical physics.

Text:

William Fulton, Joe Harris, "Representation Theory, A first course"

Prerequisites:

A standard course in Linear Algebra and a first semester of Abstract Algebra.

*****************************************************************************************

Schedule of Sections:

Previous Semesters: