Instructor:
Yael Karshon ,
math building room 314, Tel. 6584123,
karshon@math.huji.ac.il
Lectures: Wednesdays 14:00 - 15:45, Upper Papik Hall.
Office hour: Sunday 11:30, Math building room 314.
Grading:
Weekly problem sets; individual essay.
You are encouraged to collaborate in solving the problem sets.
However, you are required to write up the answers by yourself.
Main textbook: W. Fulton and J. Harris, Representation Theory, Springer-Verlag, 1991.
Additional sources:
F. Adams, Lectures on Lie Groups,
W. A. Benjamin, 1969.
J.-P. Serre, Complex Semisimple Lie Algebras,
Springer-Verlag, 1987.
J. J. Duistermaat and J. A. C. Kolk,
Lie Groups, Springer, 2000.
These books are on reserve in the math library.
(Tentative) syllabus: Finite groups and their representations, Lie groups and their Lie algebras, the exponential map, nilpotent and solvable Lie algebras, semi-simplicity and complete reducibility, representations of sl2C and sl3C, structure and classification of complex semi-simple Lie algebras, complex Lie groups and their representations.
Problem sets: 1 , 2 , 3 ( ps , pdf ), 4 ( ps , pdf ), 5 , 6 ( ps , pdf ), 7 ( ps , pdf ), 8 ( ps , pdf ), week 9: no problem set, 10 ( ps , pdf ), 11 ( ps , pdf ).