The University of Massachusetts Boston

Department of Mathematics

MA 480 Representation Theory of Finite Groups, Spring 2012

Instructor: Prof. Alfred Noël

Office : 3-175 Science Building

Phone : (617)-287-6458

Email : anoel@math.umb.edu

Url : http://www.math.umb.edu/~anoel

Room: W-1-42

Class hours : Tuesdays Thursdays: 7:00 PM – 8:15

Office hours: Tuesday, Thursday 3:45 PM – 5:15 PM.

Text : Notes from classes

Material to be covered: Complete Reducibility, Schur’s Lemma, Character Theory, Induced Representations, Representations of the Symmetric Group, Representations of the Alternating Group. If time permits we may look at some examples of finite groups of Lie type.

Helpful Sources:

· Representation Theory A First Course (William Fulton and Joe Harris)

· Linear Representations of Finite Groups (Jean-Pierre Serre)

· Representations of Finite and Compact Groups (Barry Simon)

Grading Policy: The grade will come from your performance on weekly homework assignments.