Lie Theory

3 credits · Graduate

Introduction to Lie algebras and Lie groups: linear groups; universal enveloping algebras; Lie's three theorems; classification of semisimple Lie algebras. Additional topics may include: Lie algebra cohomology; representation theory of semisimple Lie groups; Tannaka-Krein duality; Clifford algebras; Bruhat and Shubert decompositions. CALENDAR NOTES: This course is offered in alternate years. PREREQUISITES: MATH 5045 EXCLUSIONS: MATH 4057 FORMATS: Lecture