T, Th 9:00-10:15

Room: E2 1225

Lecturer: Suhyoung Choi, shchoixk at kaist.ac.kr
TA: to be assigned



The Lie group theory is a very developed area of pure mathematics with many applications to physics, chemistry and so on. This course is a basic introduction course for Lie groups. We will emphasize the computation rather than the theory. This will be helpful to understanding the full Lie group theory later. We will design the material so that non-major students could benefit from this course as well. We recommend non-major students to sign up for this course and opt for P/NR grades. Furthermore, we will also do some review of linear algebra for the first week.


Main textbook:
We will cover most of the book "Lie groups, Lie algebras, and representation" by Brian Hall, GTM 222, Springer. This book is elementary and very computational. (downloadable from the main library)

Supplementary textbooks (use the latest versions)
Matrix Groups, by Andrew Baker, Springer, UTM 2002.
Lie groups, Lie algebras, and their representations, by Varadarajan, Springer, GTM 102,
Chapter 6. Metric vector spaces and the classical groups, Basic Algebra I, by N. Jacobson, Freeman
Section 6.8 of Linear Algebra, 5th edition, by Friedberg, Insel, Spence, Pearson (We will provide pdf files of the both)
Linear algebra, 2nd Edition by Hoffman and Kunz, Prentice Hall
Lie groups beyond an introduction, by Knapp, Springer, PM 140

Related books: F. Warner, "Foundations of differentiable manifolds and Lie groups", Springer

Grading Policy:
Midterm : 30 %
Final: 30 %
Homework: 0 %
Attendance 5%,
Class contribution 5%
Assignment 30 %

This is an EDU4.0 course. Each week, you will study the material and watch the videos for that week before the classes. We will meet in class for discussions on the problems assigned for each week. This will begin from the second week. Lecture videos will be on KLMS. We will divide the class intro groups of three to five students. Groups will be assigned discussion problems on Tuesday, and groups will give presentations on Thursday.

The exams will be offline open book exams. Grades will be in A, B, C, D, F, I, P, NP. Also, A+ will be given for only the work surpassing the expectations. A0 is the normal highest grade for any work in this course. These are all graded by the subjective judgement of the instructor which follows the long traditions in the universities in the world. (We will experiment with "peer grading". This is strictly experimental. We will tell you precise policies later. The points will go into the class contribution points. Of course, we will only consider these and not be bound by what you assign.)