MATH 5104

Lie Algebras

0.5 credit · Graduate

Basic concepts: ideals, homomorphisms, nilpotent, solvable, semi-simple. Representations, universal enveloping algebra. Semi-simple Lie algebras: structure theory, classification, and representation theory.

2021

Topics

Definition and properties of Lie algebras
Universal enveloping algebra
Poincar ́e-Birkhoff-Witt theorem
Representations of Lie algebras
Structure of simple Lie algebras
Recommended textbook
J.Humphreys, Introduction to Lie algebras and representation theory

Prerequisites & course information

Prerequisite(s): MATH 5107 (MAT 5141) and MATH 5109 (MAT 5142) or permission of the School.

Sources

Course catalogue ↗2026–2027
MATH 5104F F21 ↗2021