18745. INTRODUCTION TO LIE ALGEBRAS
Tue, Thu 1-2:30, Room 2-136.
Lecturer: George Lusztig
Grader: Dongkwan Kim
Office hour: Thursdays 2:30-3:30.
Homework 2, due Feb.22
Homework 3, due Feb.27
Homework 4, due March 6
Homework 5, due March 13
Homework 6, due March 20
Homework 7, due Apr.3
Homework 8, due Apr.10
Homework 9, due Apr.24
Homework 10, due May 1
Homework 11, due May 8
Please choose one of the following topics for the final project.
1) The theorem of Levi. 2) The theorem of Ado. 3) Conjugacy of Cartan subalgebras.
(You can consult for example the book: N.Jacobson, Lie Algebras. Note that
Jacobson
writes functions on the right: xf instead of fx.) If you prefer another topic please
let me know. The final project should be a survey of 4 or 5 pages on one of
these topics with some (but not all) proofs. Your paper should be given to me by
May 10.