Math 261A—Lie Groups—Fall 2010

Lectures: MWF 10:00-11:00am, Room 45 Evans
Course Control Number: 54521

Professor: Mark Haiman
Office: 855 Evans
Office hours: M 1:30-3:00 or by appointment
Phone: (510) 642-4318

This course is an introduction to Lie groups and their Lie algebras. This fall we will cover the basic definitions and structure theorems and the classification of semi-simple Lie algebras. On the syllabus below, I have also listed a few extra topics from which we may sample if time permits. My understanding from Robert Bryant, who will be teaching 261B this spring, is that he intends it to be a continuation of 261A, so we will leave some topics for next semester.

Prerequisites: Background in algebra and topology equivalent to 202A and 250A. Although 214 (Differential Manifolds) is the official prerequisite, I will review in the lectures those bits of differential geometry that we will need.

Textbook: V.S. Varadarajan, Lie Groups, Lie Algebras, and Their Representations (Springer Graduate Texts in Mathematics, v. 102).

There is also a set of lecture notes from this course in previous years taken by Theo Johnson-Freyd and Anton Geraschenko. I plan to put a link to their notes here soon.

Some other useful references:


Possible additional topics if there is time:

Homework Assignments:

Grading: Based on homework assignments. No exams will be given.

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