Representation Theory II
Spring 2019
Problem Sets
Unless stated otherwise, problems are from Hall's Lie Groups, Lie Algebras
and Reepresentations (2nd ed). Your initials after a
problem number means you are to present that problem.
- (due Fri Jan 25)
Ch 1: 1 (JD), 2, 3 (DG), 4, 5 (EH), 13 (JL), 14 (TL), 18
- (due Fri Feb 8)
Ch 2: 5, 9 (JR), 10 (RR), 11 (CW)
Ch 3: 1, 2 (CL), 3 (JD)
- (due Fri Feb 22)
Ch 3: 4 (DG), 6, 11 (EH), 12
Ch 4: 2 (JL), 5 (TL), 8 (JR)
- (due Mon Mar 25)
Ch 4: 3 (RR), 4 (CW), 10 (CL), 12a (JD)
Ch 6: 1, 6(DG)
- (due Fri Apr 12)
Ch 6: 2 (EH), 3, 4 (JL), 11 (TL)
Ch 7: 2, 3 (JR), 5 (RR)
- (due Fri Mar 3)
Ch 7: 8 (JL)
Ch 8: 11 (RR)
Ch 9: 4 (CW), 5 (CL), 6 (DG), 7
Final exam information:
- The final exam will be take home and handed out in sealed
envelopes in class Fri Mar 3. The exam will cover material we covered
in class up to the theorem of the highest weight (any additional topics
from Chapter 10 we cover in the last week will not be needed for the exam).
- You have 24 hours to complete the exam starting
from when you open the
envelope. Please answer the questions on separate paper, and return the
exam to me by Friday May 10 at noon (at my office or in my mailbox).
Write your name, start time and end time at the top.
- No notes, text, calculators, etc. are allowed.
If you are unclear about what I am looking for on one of the questions,
you can try asking me in person or by email (though depending on when
you ask, I may not be able to reply right away).
You are not allowed to talk to anyone else about the contents of this
exam until
Friday afternoon (May 10).