# Course information for Math 559

Lie Groups and Lie Algebras

### Contact Information:

**Instructor:
**Prof. Douglas Ulmer
**Office:
**Math 716
**Phone:
**621-6861
**E-mail:
**ulmer@math.arizona.edu
**This page:
**http://swc.math.arizona.edu/~ulmer/teaching/LG02/

### Office Hours:

### Course description and requirements:

- Lie groups, Lie algebras, and their representations are central
objects in modern mathematics. For example, the symmetry groups
of many natural geometric objects are Lie groups. Beyond the
obvious connections to geometry, Lie theory has had profound
applications to analysis, number theory, particle physics, and
other fields. The aim of this course is to introduce students
to main examples and structure theory of Lie groups and Lie
algebras, as well as the basics of their finite dimensional
linear representations.
- Prerequisites: Math 511 and Math 534 or instructor's
permission.
- Text (required): V. S. Varadarajan, “Lie Groups, Lie
Algebras, and Their Representations.”
- Course work: Problems will be assigned in class and collected
roughly once per week. If needed, there will be one mid-term
exam. Either there will be a final exam or each student will
complete a project consisting of an
expository paper and a lecture on a topic decided in
consultation with the instructor. (Which alternative obtains
will be determined during the semester by the instructor, in
consultation with class members.)
- Grades will be based 1/2 on homework and the midterm and 1/2 on
the final project or exam.
- For information on administrative drops, policies on grades of W
or I, etc., see the instructor.

### Links:

Douglas Ulmer

Aug 23, 2002