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18.715 Introduction to Representation Theory

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Prereq: 18.702 or 18.703
Units: 3-0-9
Lecture: MWF2 (2-147)

Algebras, representations, Schur's lemma. Representations of SL(2). Representations of finite groups, Maschke's theorem, characters, applications. Induced representations, Burnside's theorem, Mackey formula, Frobenius reciprocity. Representations of quivers.
G. Lusztig
Textbooks (Fall 2018)