Algebraic Structures 507A: Lie algebras
Instructor: Julia Pevtsova
Place: Padelford, C-401
Time: 9:30-10:20, MWF
Office Hours: by
appointment (that is, I am happy to talk between classes, just need an advance
notice)
Course Description. An introductory course on Lie algebras and their representations. Topics to be covered: Enveloping Algebras and PBW theorem, root systems, classification of simple Lie algebras, representations.
Grading system. Based on homework and presentations.
Textbook. J. Humphreys, Introduction
to Lie Algebras and Representation Theory
Other references:
· Jacques Dixmier, Enveloping algebras
· N. Jacobson, Lie algebras
· N. Jacobson, Exceptional Lie algebras
· J. Humphreys, Reflection groups and Coxeter groups
· A.A. Kirillov, An Introduction to Lie Groups and Lie Algebras
·
J.P. Serre, Complex semisimple
Lie algebras
Homework assignments.
1. Homework 1. Tex. Due Friday, October 21.
2. Homework 2. Tex. Due Monday, November 28
End of quarter presentation assignments; to be presented the week of Nov. 28 (after Thanksgiving), on the general topic of classification of Coxeter graphs. TBD.