Columbia University G4343
Lie Groups and Representations

Basic information

Call number:	21298
Room/Time:	MW 1:10pm--2:25pm, 507 Math
Instructor:	Mikhail Khovanov
Office:	517 Math
Office Hours:	Walk-in or by appointment
E-mail:	khovanov@math.columbia.edu

Discussions:	TBA
TA:	Ben Elias, belias@math.columbia.edu
Webpage:	www.math.columbia.edu/~khovanov/lgroups2

Syllabus

Departmental syllabus for this course.

Online resources:

Dragan Milicic, Lectures on Lie Groups
Shlomo Sternberg, Lie Algebras
Alexander Kirillov, Jr., Introduction to Lie groups and Lie algebras

Brian Hall, An Elementary Introduction to Groups and Representations
Peter Woit, Lie groups and representations
Notes for Lie algebras class by Victor Kac.
Hans Samelson, Notes on Lie algebras
Eckhard Meinrenken, Clifford algebras and Lie groups
A brief summary Root systems and Weyl groups, by Jeffrey Adams.
Online notes for MIT course Introduction to Lie groups

Representation theory overview:

Constantin Teleman, Representation theory, mostly covers representation theory of finite groups.
P.Etingof and students, Lectures and problems in representation theory discusses representations of algebras, finite groups, and quivers.
Vera Serganova, Representation theory: representations of finite groups, symmetric groups, GL(n), quivers.

Books:

The following books will be placed on reserve in the math library:
R. Carter, G. Segal, and I. MacDonald, Lectures on Lie Groups and Lie Algebras. A good supplementary reading for our course is Chapter II, by Segal.
Daniel Bump, Lie groups, Graduate Texts in Mathematics, Vol. 225.
J.E.Humphreys, Introduction to Lie algebras and representation theory.
W.Fulton and J.Harris, Representation Theory: A First Course.

Additional books on Lie groups and Lie algebras:
T.Brocker and T.Dieck, Representations of Compact Lie Groups.
Anthony Knapp, Lie groups, Lie algebras, and cohomology.
Anthony Knapp, Lie groups Beyond an Introduction.
J.-P. Serre, Complex Semisimple Lie algebras.