Special Math Lecture： Groups and their representations
| Lecturer | Serge RICHARD, Professor |
|---|---|
| Department | G30, 2018 Spring |
| Recommended for: | Hu(J)・La(S)・Ec(S)・Sc(P・C・B)・En(P・C・Au)・Ag(B) |
Aim of the course
Group theory plays an important role in many fields, as for example in quantum mechanics or in particle physics. During this one semester course, we shall introduce the main concepts of groups, their representations, and present some classical groups. Lie groups and Lie algebras will also be discussed.
Prerequisites
A basic knowledge on calculus and linear algebra is expected, as provided for example in Calculus I & II and in Linear algebra I & II. For that reason, motivated 1st year students can attend this course but only after a discussion with the instructor.
Course contents
- Groups
- Linear representations
- Lie groups
- Semisimple theory
Evaluation methods
The final grade will be determined by the active participation during the lectures (will be explained during the first lecture).
Notice for students
This course is an optional subject which does not count towards the number of credits required for graduation in any program at Nagoya University.
Additional information
http://www.math.nagoya-u.ac.jp/~richard/SMLspring2018.html
Textbook
Material will be provided during the lectures
Reference Book
Reference books will be provided during the lectures
http://www.math.nagoya-u.ac.jp/~richard/teaching/s2018/Notes_groups.pdf
Last updated
December 17, 2020