Mathematics 375 - Introduction to Representation Theory

Representation theory concerns the study of groups by expressing their elements as linear transformations of vector spaces. This approach gives us a more concrete way to think about groups via matrices, and it allows us to use tools from linear algebra to study them. Topics covered in this course include group actions, representations and modules, subrepresentations and homomorphisms, irreducibility, characters and character tables, and induced and restricted representations. We will also explore some applications to physics and other areas of mathematics.

Spring Semester. Professor Zureick-Brown

How to handle overenrollment: Preference is given to math majors

Students who enroll in this course will likely encounter and be expected to engage in the following intellectual skills, modes of learning, and assessment: Problem sets, In-class group work or exams, Take-home exams, Oral presentations.