| Call number: | 29574 | |
| Room/Time: | MW 1:10pm--2:25pm, 520 Math | |
| Instructor: | Mikhail Khovanov | |
| Office: | 517 Math | |
| Office Hours: | MW 3-4 | |
| E-mail: | khovanov@math.columbia.edu | |
| Midterm: | Wednesday, March 8 | |
| Final: | Monday, May 8, 1:10pm, 517 Math | |
| Webpage: | www.math.columbia.edu/~khovanov/finite | |
The following books will be placed on reserve in the math library:
B. Sagan, The symmetric group.
J.-P. Serre, Linear representations of finite groups.
B. Simon, Representations of finite and compact groups.
Syllabus:
Groups and their actions on sets.
Actions of groups on vector spaces, representations.
Group algebras, modules, complete reducibility.
Schur's lemma, irreducible modules, characters, orthogonality relations.
Tensor product of representations.
Restriction and induction.
Applications of representation theory.
Representations of algebras and rings.
The McKay correspondence, Dynkin diagrams, reflection groups.
Representations of the symmetric group.
Homework 6 Homework 7 Homework 8 Homework 9 Homework 10