Course MAT455

Advanced Topics in Geometry - Lie Theory

Lie algebras and Lie groups are important in many areas of mathematics as well as theoretical physics. The course gives an introduction to the topic focusing on: Lie groups and their associated Lie algebra, exponential map, examples; abstract Lie algebras: ideals, solvable and nilpotent Lie algebras; and semi-simple Lie algebras: structure theory, root systems.

Description of classes

Classes meet Wednesday and Friday.


Weekly problem sets will account for 50% of the course grade.

Placement and Prerequisites

MAT 217 or MAT 328, or permission of the instructor.


Take Home Final Exam - 50%
Problem set(s) - 50%