Overview
Description
Lie Algebras are fundamental objects in mathematics as well as in physics. This one-semester course gives a mathematically rigorous treatment of Lie Algebras, which leads to an advanced understanding of the subject. Writing mathematical proofs is required.
Requirements
Prerequisites
- with a “B” or better
MATH 735MATH 731
Original catalog text
Prerequisites
Prerequisite(s): MATH 735 with a “B” or better or MATH 731 with a “B” or better.
Units
Lecture3
Catalog Details
Offering
Offered: Every Spring - Even Years
Terms
spring
Attributes
Standard
Learning Outcomes
- apply structural and classification results of Lie algebras to research problems in mathematics.
- describe when Lie Algebras are applicable to research problems in mathematics such as matrix algebra, finite reflections groups, Lie groups, and geometry.
- critically assess published results based on Lie algebras.