TA Office Hours: Tu 1:00-2:00, Th 2:00-3:00, in MSB 2145

Grading: 50% homework, 20% midterm, 30% final exam

Homework: Problem sets assigned weekly

Welcome to Math 250B: Algebra

Aside from containing many subfields in its own right, algebra is of
fundamental importance in many other areas of mathematics, including
number theory, algebraic geometry, algebraic topology, and representation
theory. We will begin with the subject of tensor products, which are
important in all of the above fields, as well as in differential geometry
(and by extension, general relativity). We will then move on to the basics
of representation theory, and finally we will cover the theory of
algebraic field extensions.

Lecture notes

I will post notes here to supplement Lang as seems appropriate.

Semisimplicity:
A self-contained exposition of the material we covered from the chapter on
semisimplicity.

A Galois theory example:
The lattices of subgroups and intermediate fields for the splitting
field of x^{2}-2 over Q.

Problem sets

Problem sets will be posted here each Friday, due the following Friday
in class. You are encouraged to collaborate with other students, as
long as you do not simply copy their answers.