Dec 08, 2025  
2015-2016 Graduate Catalog 
    
2015-2016 Graduate Catalog [ARCHIVED CATALOG]

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MATH 925 - Group Representations and Character Theory I

Credits: (3)

The basic topics in representation theory are covered: Schur’s Lemma, irreducibility, class functions, characters, orthogonality relations, Frobenius-Schur theorem, induced characters and Frobenius reciprocity, Mackey’s theorem, Clifford’s theorem, exceptional characters and applications to group orders, generalized characters and Brauer’s characterizations of characters.

Requisites:
Prerequisite: MATH 811.

When Offered:
Fall



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