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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