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REPRESENTATION THEORY (M2, Serre)

Lecture Topic : (Pure Math) REPRESENTATION THEORY (M2, Serre)

Prerequisites : Finite Group Theory (M1); Abstract Algebra (M1);

Recommended Text(s) :

“Linear Representations of Finite Groups”, Graduate Texts in Mathematics (GTM) No. 42, Jean-Pierre Serre, Springer, 1977.

Approx price new on Amazon.com (hard copy) : $51

Approx price second hand on Amazon.com (hard copy) : $43

Availability free on eMule.com (e-format) : Yes

eMule search key word(s) : Serre, Linear Representations

Lectures and Links :

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Lecture 1  (link)

Ch.1   Generalities on Linear Representations

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Lecture 2  (link)

Ch.2   Character Theory

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Lecture 3  (link)

Ch.3   Subgroups, Products, Induced Representations

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Lecture 4 (link)

Ch.4   Compact Groups

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Lecture 5  (link)

Ch.5   Examples

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Lecture 6  (link)

Ch.6   The Group Algebra

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Lecture 7  (link)

Ch.7   Induced Representations : Mackey’s Criterion

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Lecture 8  (link)

Ch.8   Examples of Induced Representations

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Lecture 9  (link)

Ch.9   Artin’s Theorem

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Lecture 10  (link)

Ch.10   A Theorem of Brauer

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Lecture 11  (link)

Ch.11  Applications of Brauer’s Theorem

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Lecture 12  (link)

Ch.12   Rationality Questions

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Lecture 13  (link)

Ch.13   Rationality Questions : Examples

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Lecture 14  (link)

Ch.14   The Groups RK(G), Rk(G), Pk(G)

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Lecture 15  (link)

Ch.15   The cde Triangle

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Lecture 16  (link)

Ch.16   Theorems

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Lecture 17  (link)

Ch.17   Proofs

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Lecture 18  (link)

Ch.18   Modular Characters

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Lecture 19  (link)

Ch.19   Applications to Artin Representations

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Lecture 20  (link)

Appendix

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