Semester:
Fall of odd years
Credits:
Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
Prerequisite:
MTH 819 or approval of department
Description:
Representations of finite groups, unitary representations, tensor products and character tables, further theory (Frobenius-Schur indicator, Burnside's theorem, Mackey formula, Frobenius reciprocity), representations of GL(2; Fq), representations of symmetric groups (Young diagrams, Schur-Weyl duality), fundamental theorem of invariant theory, introduction to representations of compact groups
Semester:
Fall of odd years
Credits:
Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
Prerequisite:
MTH 819 or approval of department
Restrictions:
Open to graduate students in the Applied Mathematics Major or in the Industrial Mathematics Major or in the Mathematics Major or approval of department.
Description:
Representations of finite groups, unitary representations, tensor products and character tables, further theory (Frobenius-Schur indicator, Burnside's theorem, Mackey formula, Frobenius reciprocity), representations of GL(2; Fq), representations of symmetric groups (Young diagrams, Schur-Weyl duality), fundamental theorem of invariant theory, introduction to representations of compact groups