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REPRESENTATION THEORY (M2, Isaacs)

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

Prerequisites : Finite Group Theory (M1); Abstract Algebra (M1); Galois Theory (M1); Ring Theory (M);

Recommended Text(s) :

“Character Theory of Finite Groups”, I. Martin Isaacs,Dover, 1994.

Approx price new on Amazon.com (hard copy) : $7

Approx price second hand on Amazon.com (hard copy) : $7

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

eMule search key word(s) : Isaacs, Character Theory

Lectures and Links :

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Lecture 1  (link)

Ch.1   Algebras, Modules and Representations

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Lecture 2  (link)

Ch.2   Group Representations and Characters

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Lecture 3  (link)

Ch.3   Characters and Integrality

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Lecture 4 (link)

Ch.4   Products of Characters

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Lecture 5  (link)

Ch.5   Induced Characters

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Lecture 6  (link)

Ch.6  NormalSubgroups

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Lecture 7  (link)

Ch.7   T. I. Sets and Exceptional Characters

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Lecture 8  (link)

Ch.8   Brauer’s Theorem

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Lecture 9  (link)

Ch.9   Changing the Field

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Lecture 10  (link)

Ch.10   The Schur Index

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Lecture 11  (link)

Ch.11   Projective Representations

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Lecture 12  (link)

Ch.12   Character Degrees

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Lecture 13  (link)

Ch.13   Character Correspondence

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Lecture 14  (link)

Ch.14   Linear Groups

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Lecture 15  (link)

Ch.15   Changing the Characteristic

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Lecture 16  (link)

Appendix : Some Character Tables

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