Instructor: |
Monty (or William)
McGovern
Office: Padelford C-450 Phone: 206-543-1149 Email: mcgovern@math.washington.edu Office Hours: drop in, or by appointment |
Lectures: |
Monday, Wednesday & Friday, 2:30-3:20 p.m., Padelford Hall C-36 |
Required Text: |
Introduction to Lie Algebras and Representation Theory by James Humphreys (Springer, 1972) |
Prerequisites: |
to be in the good graces of the instructor |
What to Expect: |
I will classify finite-dimensional complex semisimple Lie algebras, also proving some structural results on general Lie algebras along the way. Although one usually first encounters Lie algebras in a manifolds course, the treatment (following the text) will be entirely algebraic. I will not assume that students have had Sara Billey's topics course in Coxeter groups last fall, although there is a large overlap between part of that course and this one. Homework will be collected every other Friday. |
Due: | Problems: |
Apr 12 |
1.9; 2.1; 3.8,9; 4.3: read sections 1-6, start section 7 |
Apr 29 (Mon) |
4.5; 7.4,6,7; board problem: show that a semisimple Lie
algebra is generated as a Lie algebra by two elements: read 7,8,
start Chapter III |
May 10 |
10.10,13; 11.2; 13.4,13 (extra credit 13.10) finish Chapter
III, start section 14 |
May 24
|
14.4,5; 16.6; 17.1,3: read 15,18,17,20,21 |
June 7
|
read 22.1,5; 24.1-3, Appendix; 25.1-5 |