Course Archives Theoretical Statistics and Mathematics Unit | ||||||||||||
Course: Introduction to Representation Theory Instructor: Ramesh Sreekantan Room: G23 Level: Undergraduate Time: Currently offered |
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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 Evaluation:
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Midterm
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