Instructor: 
Monty (or William)
McGovern
Office: Padelford C450 Phone: 2065431149 Email: mcgovern@math.washington.edu Office Hours: drop in, or by appointment 
Lectures: 
Monday, Wednesday & Friday, 10:30 a.m.11:20 a.m., Padelford Hall C401 
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: 
This is the second course in the Algebraic Structures sequence. I will classify finitedimensional 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. Homework will be collected every other Friday. 
Due:  Problems: 
Jan 18 
1.9; 2.1; 3.8,9; 4.3: read sections 16, start section 7 
Feb 1 
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 
Feb 15 
10.10,13; 11.2; 13.4, board problem: using large tensor powers of the adjoint representation and sl(2) theory, show that any semisimple Lie algebra L admits irreducible representaitons of arbitrarily large dimension: read 10,12,13 
Mar 1

14.1,5; 16.6; 17.3: read 17,18,20 
Mar 8

read 21,24; OMIT 22,23 