**Description:** The aspects of group theory discussed in this course have been selected because of
their usefulness in physics. However there will probably be limited time for discussion of physics
motivations or applications. In the past most students in the course have been graduate students
or advanced undergraduates in applied mathematics and physics. The general philosophy is to use
nite groups to bring out some major ideas in a simple context, but to emphasize Lie groups, Lie
algebras, and their representations. The outline below gives an "approximate" list of topics to be
treated.

**Prerequisites:** Students should have a good knowledge of linear algebra, i.e., vector space theory and
matrices. They should have completed a course in quantum mechanics in which the theory of angular momentum was discussed
and which (hopefully but not essentially) included a discussion of representations of the angular momentum algebra.

**Problem Sets**

**Problem Set 1** (Due Thursday, September 20)

**Problem Set 2** (Due Thursday, October 4)

**Problem Set 3** (Due Thursday, October 18)

**Problem Set 4** (Due Thursday, November 1)

**Problem Set 5** (Due Thursday, November 15)

**Problem Set 6** (Due Thursday, December 6)

**Supplementary Materials**