MATH 5143 (Spring 2026)
Overview:
- Welcome to the homepage for MATH 5143: Introduction to Lie Algebras!
- Send questions to eric.marberg@gmail.com.
- For office hours, send me an email to arrange an appointment.
- For all course logistics, consult the syllabus.
Lectures:
- Tuesdays and Thursdays from 4:30PM to 5:50PM.
- Location: Room 5566, near Lift 27-28.
Textbook:
Schedule:
- Week 1:
- Week 2:
- Lecture 3: solvable and nilpotent Lie algebras, Engel's theorem
- Lecture 4: Lie's theorem, Jordan decomposition
- Week 3:
- Week 4:
- Lecture 5: Cartan's criterion, Killing form
- Lecture 6: semisimplicity, representation theory basics
- Week 5:
- Lecture 7: Casimir elements, Weyl's theorem
- Lecture 8: abstract Jordan decomposition, special linear representations
Assignments:
- You are allowed to use any resources to do the assignments.
But your solutions must be hand-written and delivered in-person during lecture.
No electronic submissions.
- Homework 1 due Tuesday, February 24
- Homework 2 due Tuesday, March 3