MATH 6390 — Lie Groups and Lie Algebras
General Information
Lie groups, Lie algebras, and their representations play an important role in much of mathematics, particularly in number theory, mathematical physics, and topology. This is an introductory course, meant to be useful for more advanced topics and applications. The relationship between Lie groups and Lie algebras will be highlighted throughout the course. A different viewpoint is that of algebraic groups. We will endeavor to discuss this along with the smooth viewpoint. Some knowledge of differential and algebraic geometry are helpful.
Full Cornell course description (FA26)
Credits: 3
Prerequisites and Enrollment
Prerequisites: background equivalent to: MATH 4330 and MATH 4340.
Recorded Offerings
| Semester | Listed instructors | Course details |
|---|---|---|
| Fall 2026 | Dan Barbasch | Roster / syllabus |
Workload and General Advice
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Course information checked against Cornell’s Spring and Fall 2026 rosters on September 18, 2026. The listed semesters are verified examples, not a complete offering history.