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Representation theory

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Author(s): Hans Cuypers, Hendrik W. Lenstra, Gabriele Dalla Torre
Series: lecture notes
Edition: version 2010-11-12
Year: 2010

Language: English
Commentary: Downloaded from https://www.win.tue.nl/mm-representation-theory/representation_theory.pdf

1 Historical and mathematical background 1
2 Solvable groups 3
3 Modules 6
4 Modules and representation theory 10
5 Exact sequences 13
6 Homomorphisms and tensors 15
7 Jordan-H¨older Theorem and Grothendieck groups 26
8 Additive invariants 33
9 Semisimplicity 41
10 Traces and characters 50
11 Integrality and Burnside’s theorem 57
12 The restriction map and Frobenius’ theorem 63
13 Computing the character table 69
14 Induction and Brauer’s theorem 72