MAT 552: Introduction to Lie Groups and Lie Algebras

About the course

Summary. We will go over the fundamental theory of Lie groups and Lie algebras, including the classification of complex semisimple Lie algebras, and some basic facts about their representation theory.

Grading. Grades will be based on weekly homework assignments, class participation, and on a 20-minute presentation towards the end of the semester. Please consult me for possible topics. There is no final exam.

Textbook. We will cover most of the material in the book An Introduction to Lie Groups and Lie Algebras" by Sasha Kirillov. See Appendix B in the book for a tentative syllabus.

Time and location

We meet on Monday and Wednesday afternoon from 2:30–3:50 pm, in Physics P–122 . My office is Math Tower 3–117; office hours are Friday 10am to 12pm.

Homework assignments

Note: I have updated the link above; now the exercises in the printed version and in the PDF version should be the same.

Lecture notes (starting from March 30)

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