|Department||G30, 2022 Fall|
|Recommended for:||2nd to 4th year students|
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.
Get enough knowledge about groups for perceiving their importance in several theories and for recognizing them in numerous applications.
This course should cover the following topics:
Basic knowledge on calculus and linear algebra, as provided in Calculus I & II and in Linear algebra I & II. Motivated 1st year students can also attend without these prerequisites but after a discussion with the instructor.
The final grade will be based on the active participation during the lectures and on some written reports. Students will be encouraged to work on applications related to their major during the semester. Students need to notify the course withdrawal to the instructor when they have no intention of finishing the course during the semester.
Students are expected to read their notes, and to be familiar with the content of the previous lectures before each new lecture.
It is expected that the students will show a certain maturity in studying independently and in choosing some exercises and problems to solve. Study sessions will be organized on a weekly basis. This course is an optional subject which does not count towards the number of credits required for graduation in any program at Nagoya University.
This lecture is provided under Creative Commons Attribution-Non Commercial-ShareAlike 4.0 International.
January 27, 2023