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 Top of the page Past Exams

Midterm 12.pdf 13.pdf 14.pdf 16.pdf 17.pdf 19.pdf 20.pdf 23.pdf Semestral 12.pdf 13.pdf 16.pdf 17.pdf 19.pdf 21.pdf 22.pdf 23.pdf Supplementary and Back Paper 17.pdf Top of the page

[ Semester Schedule ][ Statmath Unit ] [Indian Statistical Institute]