Mathematics 375 - 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.

Requisite: MATH 350 or consent of the instructor. Limited to 24 students. Priority to pre-registered students, math majors, and juniors and seniors.  Fall semester.  Visiting Professor Naqvi.