Course Descriptions

The Course Descriptions catalog describes all undergraduate and graduate courses offered by Michigan State University. The searches below only return course versions Fall 2000 and forward. Please refer to the Archived Course Descriptions for additional information.

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MTH 988 Representation Theory I

Semester:
Fall of odd years
Credits:
Total Credits: 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
Effective Dates:
FS15 - US24

MTH 988 Representation Theory I

Semester:
Fall of odd years
Credits:
Total Credits: 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
Effective Dates:
FS24 - Open