Days 1-11,16 follow Pavel Etingof's notes.
Days 12-15 (the induction theorems) follow Curtis and Reiner's "Methods of Representation theory".
Days 17-21 follow Macdonald's "Symmetric functions and Hall polynomials".
Days 25-30 follow Fulton's and Harris's "Representation theory, a first course".
Days 31-37 follow the appendices to Fulton and Harris, or Humphreys's "Introduction to Lie algebras and Representation theory"
Days 38-40 follow Humphreys's "Representations of Semisimple Lie Algebras in the BGG Category O", chapters 1 and 2.
Day 2: Finite dimensional associative algebras
Day 3: Semisimplicity and characters
Day 4-6: Guest lectures by Allen Knutson!
Day 7: Irreps of the symmetric group I
Day 8: Irreps of the symmetric group II
Day 9: Irreps of the symmetric group III
Day 10: Schur-Weyl duality
Day 11: Integrality and consequences
Day 12: Artin's induction theorem
Day 13: In class exercises on induction.
Day 14: Solomon's induction theorem
Day 15: Brauer's induction theorem
Day 16: Representations of GL2(Fq)
Day 17: Representations of GLn(Fq), I: conjugacy classes and parabolic induction
Day 18: Representations of GLn(Fq), II: Induction and the Hall algebra
Day 19: Hall algebra examples, and continuation of day 18 (see yesterday's notes).
Day 20: A crash course on symmetric functions
Day 21: Representations of GLn(Fq), III: Characters (this lecture leaves the proofs to Homework 3.)
Day 22: Counting covers of curves.
Day 23: Bundles on curves, 1.
Day 24: Bundles on curves, 2.
Day 25: Definition of a Lie algebra; SL2 (C)
Day 26: Finite dimensional representations of SL2(C)
Day 27: SL3(C), part I
Day 28: Examples of SL3 representations and weight diagrams
Day 29: Irreps of SL3 and their characters. (Day 28 and 29 involved too many pictures for making notes, but weren't too different from the chapters in Fulton and Harris.)
Day 30: Semisimple Lie Algebras; overview.
Day 31: Upper triangularity -- the theorems of Lie and Engel
Day 32: The Killing form and Cartan's criterion
Day 33: Semisimplicity
Day 34: The absolute Jordan decomposition
Day 35: Cartan subalgebras
Day 36: Root systems
Day 37: The Weyl group
Day 38: Highest weight modules; category O
Day 39: Classification of finite dimensional simples; central characters
Day 40: Harish-Chandra's theorem and the Weyl character formula
Homework 0: due Monday, Sept. 1; see Lecture 1
Homework 1: due Monday, Sept. 17
Homework 2: due Monday, Oct. 7
Homework 3: (Optional, more here later.) Read in Macdonald's book the rest of the proof that the characters of GLn(Fq) that we constructed really are the irreducible characters.
Homework 4: due Monday, Nov. 4; do all the exercises in Lecture 26.
Homework 5: due Friday, Nov. 15; do all the exercises in Lecture 30.
Homework 6: due Wednseday, Nov. 27; do all the exercises in Lectures 31, 32, 33, 34 (there are 5 total).
Some things that might have been on the final.