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MATH 473

Group Representation Theory

Mathematics College of Physical and Mathematical Sciences

Course Description

FG-modules; Maschke's theorem; Schur's lemma; characters of groups; orthogonality relations of characters; induced, lifted and restricted characters; construction of character tables; Burnside's theorem.

When Taught

Fall

Grade Rule

Grade Rule 8: A, B, C, D, E, I (Standard grade rule)

Min

3

Fixed

3

Fixed

3

Fixed

0

Title

A second course in abstract algebra; representation theory

Learning Outcome

Students should know all relevant definitions, correct statements of the major theorems (including their hypotheses and limitations), and examples and non-examples of the various concepts. The students should be able to demonstrate their mastery by solving non-trivial problems related to these concepts, and by proving simple (but non-trivial) theorems about the below concepts, related to, but not identical to, statements proven by the text or instructor. For more detailed information visit the Math 473 Wiki page.