MAT 552
Lie Groups and Lie Algebras

Stony Brook, Fall 2005
Last update: August 30

This page will be updated at least once a week. Check for announcements and postings regularly, mostly at the bottom of the page!

Watch for essential information on the course evolving today Tu 08/30 and tomorrow W 08/31 - after our discussions in class on Monday.

Lecturer:  Detlef Gromoll, Math 5-110
Phone: 632-8286, Email:
Classes: MWF 11:45-12:40am, Physics P-130
Office Hours: W 2:30-3:30 (5-110), Th 2-3 (UGO, P-143), and by appointment

About this Course:   This course originally evolved out of the sequence MAT 568 and MAT 569 of basic intermediate courses in differential geometry. Traditionally, the sequence integrated some Lie Theory with applications to homogeneous and symmetric spaces, in the spirit of Helgason's books. However, it turned out that an independent treatment of Lie groups and algebras was absolutely essential in order to meet the various needs of the graduate program at Stony Brook, in particular in light of the well established interactions with symplectic geometry/topology and dynamics, complex analysis, algebraic geometry -- and most importantly, theoretical physics, where representation theory has always been of special importance.

Grading/Homework:   Problem solving is essential. I will assign problems weekly on this page ranging in difficulty from routine to rather challenging. Turning in correct solutions to at least half of them will be considered a perfect score if your selection is varied. There will be a take home final exam in the format of a reasonably substantial project, due December 19.

Special Needs: If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services, ECC (Educational Communications Center) Building, room 128, (631) 632-6748. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential.
Students requiring emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information, go to the following web site.

Week by Week Details:   Some notes, comments, and the weekly syllabus and assignments are listed here.
      Week of       Sections