Tentative Lecture Schedule
Tuesday
Thursday
Jan 10 Tuesday, January 10
Introduction
Jan 12 Thursday, January 12
Linear Algebra
Jan 17 Tuesday, January 17
Multilinear Algebra
Jan 19 Thursday, January 19
Multilinear Algebra
Jan 24 Tuesday, January 24
Basics of Representations
Jan 26 Thursday, January 26
Complex Representations
Jan 31 Tuesday, January 31
Complex Representations
Feb 2 Thursday, February 2
Character Theory
Assignment 1
Feb 7 Tuesday, February 7
Character Theory
Feb 9 Thursday, February 9
Induced Representations
Feb 14 Tuesday, February 14
Induced Representations
Feb 16 Thursday, February 16
Frobenius Reciprocity
Assignment 2
Feb 21 Tuesday, February 21
Mackey Decomposition
Feb 23 Thursday, February 23
Artin and Brauer's Theorem
Feb 28 Tuesday, February 28
Symmetric Polynomials
Mar 2 Thursday, March 2
Symmetric Functions
Assignment 3
Mar 7 Tuesday, March 7
Spring Break
Mar 9 Thursday, March 9
Spring Break
Mar 14 Tuesday, March 14
Schur Functions
Mar 16 Thursday, March 16
Specht Modules
Mar 21 Tuesday, March 21
Schur Functors
Mar 23 Thursday, March 23
Matrix Algebras
Assignment 4
Mar 28 Tuesday, March 28
Group Algebras
Mar 30 Thursday, March 30
Module Theory
Apr 4 Tuesday, April 4
Tensor Products and Bimodules
Apr 6 Thursday, April 6
Semisimple Rings
Assignment 5
Apr 11 Tuesday, April 11
Wedderburn Theory
Apr 13 Thursday, April 13
Central Simple Algebras
Apr 18 Tuesday, April 18
Non-closed fields
Apr 20 Thursday, April 20
Representation rings
Assignment 6