Spring 2027
Lev Borisov
Subtitle:
Course Description:
Lie algebras are some of the fundamental concepts of algebra, which have proved to be useful in many areas of mathematics and physics. Topics will include elementary properties of Lie algebras, theorems of Lie and Cartan, conjugacy of Borel subalgebras, root systems and their construction, structure and classification of semisimple Lie algebras, and representation theory of semisimple Lie algebras.
Textbook:
Complex Semisimple Lie Algebras, by J.-P. Serre
Prerequisites:
good algebra background; 551 would definitely be sufficient
Schedule of Sections:
16:640:550 Schedule of Classes
Previous Semesters:
- Fall 2025 - Retakh, Vladmir
- Fall 2023 - Tiep, Pham
- Spring 2023 - Sahi Siddhartha
- Fall 2021 - Retakh, Vladimir
- Spring 2020 Prof. Carbone