SUNY at Stony Brook MAT 543:
Fall 2023

Syllabus

Week

Topic

08/28 – 09/01

Representations of Finite Groups

09/03 – 09/08 Mo,9/4 no classes (Labor Day)

Characters

09/11 – 09/15

Examples; Induced Representations; Group Algebras; Real Representations

09/18 – 09/22

Representations of 6 d : Young Diagrams and Frobenius's Character Formula

09/25 – 09/29

Representations of m d and GL2(F_q)

10/02 – 10/06

Weyl's Construction

10/09 – 10/13

Lie Groups

10/16 – 10/20

Lie Algebras and Lie Groups

10/23 – 10/27

Initial Classification of Lie Algebras

10/30 – 11/03

Representations of sl_2(C)

11/06 – 11/10

Representations of sI_3(C), Part I

11/13 – 11/17

Representations of sl_3(C), Part II

11/20 – 11/24 We-Su,11/22-11/26: Thanksgiving break

The General Set-up: Analyzing the Structure and Representations

of an Arbitrary Semisimple Lie Algebra

11/27 – 12/01

sl_4(C) and sl_n(C)

12/04 – 12/08

Symplectic Lie Algebras