Offine hours: Wednesday 1:00--2:30.
Final Exam: Wednesday, December 9, 12:30--3 in MC 4064.
I will be holding office hours on December 7, from 2--4.
Instructor:
Jason Bell
Syllabus We'll cover (not necessarily in this order) subrepresentations and irreducible representations, tensor products of representations. Character theory. Representations as modules over the group ring, Artin-Wedderburn structure theorem for semisimple rings. Induced representations, Frobenius reciprocity, Mackey's irreducibility criterion.
Textbook: Serre's Linear Representations of Finite Groups
At times throughout the semester, I will be posting my (rough) lecture notes.
Here are some notes on the Artin-Wedderburn theorem.
Coursework and Grades:
Grades will be based on individual homework
assignments (50%) and a final exam (50%).
Assignment 1, Due September 26 in class: File
Assignment 2, Due October 15 in class: File
Assignment 3, Due October 29 in class: File
Assignment 4, Due November 12 in class: File
Assignment 5, Due November 26 in class (Mistakes: in Ex. 3, N should be 16n^2/epsilon^2; in Ex. 6, it should be for A not {+-I}): File