MATH 473
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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
Min
3
Fixed/Max
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.
