Math 461/561 Introduction to Lie Algebras and Representation Theory  - Fall 2010



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 11:00-12:20.

The textbook is Introduction to Lie Algebras by Erdmann and Wildon.

Dave's Contact Information:

Office:  Mathematics Building 211
Office Hours:                      
                            Monday                3:00-4:00
                            Thursday               12:30-1:30

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 2010 SCHEDULE.

Phone:          716-645-6284 x137
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. This is probably already on your computer, but if not it is availabe for free download  here .

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

8/31/10    Course Information Sheet
11/30/10    Maple Worksheets: Type A, Type B, Type C, Type D


LECTURE NOTES

8/31/10            9/2/10
9/7/10              no class
9/14/10            9/16/10
9/21/10            9/23/10
9/28/10             9/30/10
10/5/10            10/7/10
10/12/10         10/14/10
10/19/10         Midterm
10/26/10           10/28/10
11/2/10            11/4/10
11/9/10            11/11/10
11/16/10         11/18/10
11/23/10         Tgiving
11/30/10         12/2/10
12/7/10            12/9/10

Homework:

Assigment #11 Due Thursday 12/9
13.2, 13.3,  14.2, 14.4,  15.11   SOLUTIONS

Assigment #10 Due Tuesday 11/23   11.2, 11.5, 11.6, 11.10, 11.13 SOLUTIONS

Assignment #9 Due Tuesday 11/16   10.5, 10.7, 10.8, 10.9    SOLUTIONS

Assignment #8 Due Tuesday 11/9   9.9, 9.10, 9.11, 9.12.   SOLUTIONS

Assignment #7 Due Tuesday 11/2  
8.2, 8.3, 8.5, 9.5, 9.6, 9.7   SOLUTIONS

Assignment #6 Due Tuesday 10/26
Exercises 7.3, 7.6, 7.8, 7.10, 7.11, 7.12  SOLUTIONS

Assignment #5 Due Tuesday 10/12/10  Exercises 6.3, 6.4, 6.5, 6.6 Also: Let L be a nonzero nilpotent Lie algebra. Prove L has an ideal of codimnsion 1.
    SOLUTIONS

Assignment #4 Due Tuesday 10/5/10   here        SOLUTIONS

Assignment #3 Due Tuesday 9/28/10 
Exercises 2.10, 3.1, 4.3, 4.4, 4.5, 4.6  SOLUTIONS

Assignment #2 Due Tuesday 9/21/10    SOLUTIONS
    Assigned Tuesday 9/7/10  Exercises 1.9, 1.14, 1.18, 2.6, 2.8, 2.9, 2.11
   
Assigned Tuesday 9/14/10 Exercise 1.15

Assignment #1 Due Tuesday 9/7/10   SOLUTIONS
    Assigned Tuesday 8/31/10:    HW1
    Assigned Thursday 9/2/10      Exercises 1.1, 1.5, 1.6, 1.7

Exams:
   Midterm Exam 10/21/2010 Solutions
    Final Exam 12/16/2010 Solutions

 
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