Course Archives    Theoretical Statistics and Mathematics Unit
Course: Introduction to Representation Theory
Level: Undergraduate
Time: Currently not offered
Past Exams

Syllabus: Introduction to multilinear algebra: Review of linear algebra, multilinear forms, tensor products, wedge product, Grassmann ring, symmetric product. Representation of finite groups:Complete reducibility, Schurs lemma, characters, projection formulae. Induced representation,Frobenius reciprocity. Representations of permutation groups.

Reference Texts:

1. M. Artin: Algebra.
2. S. D. Dummit and M. R. Foote: Abstract Algebra
3. I. N. Herstein: Topics in Algebra
4. K. Hoffman and R. Kunze: Linear Algebra
5. W. Fulton and J. Harris: Representation Theory, Part I
6. J-P Serre: Linear representations of finite groups

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Past Exams
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12.pdf 13.pdf 16.pdf 17.pdf 19.pdf 21.pdf 22.pdf 23.pdf
Supplementary and Back Paper

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