Columbia University W4044 section 001
Representations of finite groups
| Call number: || 92198
|Room/Time: || MW 1:10pm--2:25pm, 520 Math |
|Instructor: || Mikhail Khovanov |
|Office: || 517 Math |
|Office Hours: || Walk-in or by appointment |
|TA: || Qi You |
|Discussions: || Monday 9-10am, Room 622 |
|Office Hours: || Tue 6-7pm or by appointment, Room 610 |
|Midterm: || Wednesday, Nov 4 |
|Final: || Monday, Dec 21, 1:10pm-4pm, MAT 520 |
|Webpage: || www.math.columbia.edu/~khovanov/finite |
P.Webb, Representation Theory Book We need the first 5 sections (pages 1-62).
A.Baker, Representations of finite groups
Notes on representations of algebras and finite groups
Notes on the representation theory of finite groups
P.Etingof et al. Introduction
to representation theory
also discusses category theory, Dynkin diagrams, and representations of quivers.
Qi You's notes on the
There is at least a dozen textbooks on representations of finite groups in the library---here's
J.-P. Serre, Linear representations of finite groups.
B. Sagan, The symmetric group.
B. Simon, Representations of finite and compact groups.
G.James and M.Liebeck, Representations and characters of groups.
Groups and their actions on sets.
Modules over rings and algebras, simple modules, Schur's lemma.
Actions of groups on vector spaces, representations.
Group algebras, modules, complete reducibility, Wedderburn's theorem.
Characters, orthogonality relations.
Tensor product of representations.
Restriction and induction.
Applications of representation theory.
The McKay correspondence, Dynkin diagrams, reflection groups.
Representations of the symmetric group.
Representations of quivers.
Homework, quizzes, exams
Practice quiz 1
Quizzes and exams from 2006 class:
Additional online resources
Representations of groups
representations in probability and statistics
Groups and Their Applications
J.Rabinoff, Fourier analysis on
finite groups and Schur orthogonality
Representations of GL(2) and SL(2) over finite fields
Notes on trace formulas for finite groups
T.Y.Lam, Representations of finite groups: A hundred years, Part I
Representations of finite groups of Lie type
Groups and representation theory notes
Topics in representation theory
Lectures on representations of finite groups and invariant theory
page on reps of finite groups
and links from a course on representation theory at Stanford University
Jeremy Rickard's webpage
for a rep theory course
Joseph Bernstein's course
Rings and modules
Class notes for Modern
Algebra, by Matt Douglass
Algebra, by Marc Culler Treats rings, modules, modules
A lecture by Daniel Katz
on free modules
Condensed review of groups, rings, and
modules by Roy Smith
Notes on modules
and rings by William Schmitt
Wikipedia's entry on modules
Notes by Ralph Howard
Zorn's lemma links: Wiki
Category theory links: