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
https://www.isibang.ac.in/~adean/infsys/database/Bmath/RT.html
- Teacher: Manish Kumar