Modern Algebra - Representation Theory and Lie Algebras
Time: Wednesday 6, 7 (13:20-15:10) / Wednesday 6, 7 (13:20-15:10)
Room: 新生教学館 304
Office Hour: Thursday 13:00-14:30 @ Astro-Math Building 427
Notice
- The evaluation will be based on reports and oral presentations. Please check the detailed regulation explained in my course notes.
Lecture 1 (2026-09-09)
Introduction: Representation of a group
Lecture 2 (2026-09-11)
Characters of representations
Lecture 3 (2026-09-16)
Basic results on irreducible representations
Exercise 1 (2026-09-18)
Lecture 4 (2026-09-23)
Induced representations
Lecture 5 (2026-09-30)
Mackey decomposition
Lecture 6 (2026-10-02)
Brauer's induction theorem
Exercise 2 (2026-10-07)
Please indicate problems you want to present via Google Form
(You can check the current situation here).
Lecture 7 (2026-10-14)
Representations of topological groups
Lecture 8 (2026-10-16)
Representation theory of torus
Lecture 8 (2026-10-21)
Haar measure and Schur's orthogonality
Course note is here.
Please feel free to contact me!
Office: Astro-Math Building 427
Mail: masaooi at ntu.edu.tw