Lie Algebra (Math 7970) 

        Instructor: Dr. Tin-Yau Tam, 200 Parker Hall, Phone: 844-6572
        E-mail: tamtiny@auburn.edu
        Webpage: http://www.auburn.edu/~tamtiny

        Office Hours: 10:00 - 11:00 am (MWF)

Goal: The purpose of the course is to give a general introduction of Lie algebras and the classifications of semisimple Lie algebras.

See the syllabus.

Text: Introduction to Lie Algebras and Representation Theory, by James E. Humphreys, GTM 9, Springer-Verlag New York, 1972.

References:

Complex semisimple Lie algebras, Jean-Pierre Serre, Springer, Berlin Heidelberg, 1987.

Notes on Lie Algebras, Hans Samelson, Springer-Verlag, Berlin Heidelberg, 1990. A free pdf copy for download.

Lectures: Parker 354 9:00-9:50 am (MWF)

Grades are determined by the homework.

Homework Assignments:


Section 1: #3, 7, 11 Solutions Class discussion #2, 4
Section 2: #10, 11, 12 Solutions Class discussion #2, 3
Section 3: # 7, 9, 10 Solutions Class discussion 1, 3
Section 4: #1, 5, 6 Solutions Class discussion #7, 8
Section 5: #3, 4, 8 Solutions Class discussion #1, 2
Section 6: #2, 4, 9 Solutions Class discussion # 3, 7
Section 7: # 1, 3 Solutions Class discussion # 2
Section 8: #2, 3, 5 Solutions Class discussion # 4, 9, 11
Section 9: #5, 6, 9 Solutions Class discussion #
Section 10: # 5, 6 12 Solutions Class discussion # 1, 9
Section 11: # 3, 4 Solutions Class discussion # 1
Section 12: # 6, 7 Solutions Class discussion #
Section 13: # 1, 6, 7 Solutions Class discussion #
Section 14: # 2, 7 Solutions Class discussion #
Section 15: # 1, 4, 6 Solutions Class discussion # 2, 3