Day & Time: Tuesday and Friday
11:30am — 12:45
Location: Goldsmith 0226
Instructor:
Joel Bellaiche
Office hours:TBA
Grade: 30% exercises in class, 30% personal project, 40% final exam
Textbooks:
Lang: Algebra
Serre: Representation of finite groups.
Program:
NonCommutative ring theory and representation Theory
Homological Algebra and Derived Functors.
Class 
Topic 
Suggested Reading 
Exercises 
Jan 16 
Introduction. Topological Groups 


Jan 20 
Lie groups: definitions 


Jan 23 
Lie groups: exponential map, 1parameter subgroup, first Lie theorem 


Jan 26 
Snow day 


Jan 30 
Lie groups: Ad and ad, ad ane Lie Bracket; Cartan's theorem on closed subgroups 

Exercises 1 
