Course Archives    Theoretical Statistics and Mathematics Unit
Course: Introduction to Representation Theory
Level: Undergraduate
Time: Currently not offered
Syllabus
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
Midterm
12.pdf 13.pdf 14.pdf 16.pdf 17.pdf
Semestral
12.pdf 13.pdf 16.pdf 17.pdf
Supplementary and Back Paper
17.pdf

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