Lie Groups and Lie Algebras: Fall 2024
                           
                                Tuesday and Thursday 2:40 -- 3:55
                   
                        Instructor:  John Morgan 514 Mathematics

                                Office hours Tuesday 4 pm - 5 pm

                                TA: Davis Lazowski email davis.lazowski@columbia.edu

The solutions for the final can be found here.


Lecture Notes.

Primer on Integral Curves for Vector Fields can be found here.
Primer on Poincare' duality and the Lefschetz fixed point Theorem can be found here.
Primer on measure and integration on compact Lie groups can be found here.


Notes for Lecture 1 can be found here.
Notes for Lecture 2 can be found here.
Notes for Lecture 3 can be found here.
Notes for Lecture 4 can be found here.
Notes for Lecture 5 can be found here.
Notes for Lecture 6 can be found here.
Notes for Lecture 7 can be found here.
Notes for Lecture 8 can be found here.
Notes for Lecture 9 can be found here.
Notes for Lecture 10 can be found here.
Notes for Lecture 11 can be found here.
Notes for Lecture 12 can be found here.




Problem Sets.

Problem Set 1 can be found here.
Problem Set 2 can be found here.
Problem Set 3 can be found here.
Problem Set 4 can be found here.
Problem Set 5 can be found here.
Problem Set 6 can be found here.
Problem Set 7 can be found here.
Problem Set 8 can be found here.
Problem Set 9 can be found here.
Problem Set 10 can be found here