Math 461/561 Introduction to Lie Algebras and Representation Theory  - Fall 2015



Welcome to the website for David Hemmer's Math 461/561- Introduction to Lie Algebras and Representation Theory.  The class meets in 250 MATH Tuesday-Thursday from 09:30-10:50.

The textbook is Introduction to Lie Algebras by Erdmann and Wildon. There is a errata here.

Dave's Contact Information:

Office:  Mathematics Building 211 or 226 (Chair's office)
Office Hours:                      
                            Monday                2:00-3:00
                            Wednesday            9:00-10:00
                            Thursday               3:00-4:00

These are only the times I am guaranteed to be in my office. You can take your chances and stop by anytime, or call first to see if I'm here, or make an appointment. The best way to contact me is email.  Please make frequent use of my office hours! Here is my FALL 2015 SCHEDULE.

Phone:          716-645-8775
Email:              dhemmer@math.buffalo.edu
Dave's Website:  http://www.math.buffalo.edu/~dhemmer


Reading Files: I will post all files in .pdf format, which can be read with Adobe Acrobat Reader. 

Course Handouts: Anything I pass out in class will go here.

8/31/15    Course Information Sheet


Homework:
           
Assignment #1- Due 9/8/15
            Assignment #2- Due 9/15/15     1.7, 1.14, 1.15, 2.3, 2.6, 2.8, 2.9  SOLUTIONS
            Assignment #3- Due 9/22/15    2.13,  3.1, 3.3 3.5, 3.7, 3.8, 3.9(i)-(iii) (grad students only, extra credit for undergrads) SOLUTIONS
            
Assignment #4- Due 9/29/15     2.11, 4.3, 4.4, 4.5, 4.6  4.9 (grad students only, extra credit for undergrads)  SOLUTIONS
            Assignment #5- Due 10/8/15     5.1, 5.5,5.6, 6.1, 6.3, 6.4, 6.5, 6.6 +  any f.d. Li e algebra has a unique maximal nilpotent ideal. SOLUTIONS
            Assignment #6- Due 10/13/15        7.7, 7.8, 7.10, 7.12
            Assignment #7- Due 10/22/15        8.2, 8.3, 8.4, 8.5, 8.7
            Assignment  #8- Due 11/3/15      16.8, 9.7,9.9, 9.10, 9.11, 9.12, 9.13
            Assignment #9- Due 11/12/15  10.5, 10.7, 10.8, 10.10, # Compute the basis of sl(n,C) duel to the standard basis via the Killing form.
            Assignment #10- Due 11/24/15    11.13, 11.14, 12.2, 12.3
            Assignment #11- Due 12/17/15

Exams:
            Midterm Solutions 10/20/15
            Final Exam Solutions 12/17/15

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