Representation Theory

Math 174, Spring 2013, Harvey Mudd College
Prof. Michael Orrison

Catalogue Description

The topics covered will include group rings, characters, orthogonality relations, induced representations, applications of representation theory, and other select topics from module theory. Prerequisite: Math 171.


Instructor

Michael Orrison ("lastname"@hmc.edu), Olin 1280.
Office Hours: Mondays, 4:15-5:30 PM, and by appointment.


Textbook

Abstract Algebra, 3rd Ed. by David Dummit and Richard Foote. (Errata.)


Grading

There will be homework (1/7), three midterms (1/7 each), and a final exam (3/7). However, if the score on your final exam is greater than the average score of your three midterms, then your final exam score will replace your midterm scores. The grading scale will be roughly the following: A 90%-100%, A- 85%-89%, B+ 80%-84%, B 70%-79%, B- 65%-69%, and so on.

The grading of the weekly homework will be done by you in teams of 4-5 students. When your teams is grading a particular assignement, you need not submit an assignement that week, but your team will instead submit an answer key for the rest of the class to see. Further details about the grading teams and answer keys will be explained in class.


Homework

You are encouraged to discuss the homework with other members of the class, and it is appropriate to acknowledge the assistance of others. You will, however, be expected to write up your solutions on your own and without the use of sources beyond your textbook, notes, and past homework.


LaTeX

You are encouraged (but certainly not required) to consider typesetting your work. Students interested in using LaTeX to do this should consider using the HMC Mathematics Homework Class.


Honor Code and Disabilities

All students enrolled in this course are bound by the HMC Honor Code. Also, students who need disability-related accommodations are encouraged to discuss this with me as soon as possible.


Links

T.Y. Lam's 2008 MSRI talk