640:549 Lie Groups (Spring, 2005) -- Homework Assignments

Text: Wulf Rossmann, Lie Groups: An Introduction Through Linear Groups,
    ISBN 0-19-859683-9, Oxford University Press, New York, 2002.

The Graded Problems in the list below should be handed in at the class meeting on the due date. The Recommended Problems do not have to be handed in, but you are encouraged to work as many of them as possible (and also to look at the other problems). When one of the graded problems uses a result from another (ungraded) problem, you may assume the result to be true without furnishing details. Of course, to use the result correctly in your own work you should understand it. Please come and ask for help when you are stuck on a problem; there are no answers in the back of Rossmann's book. The problems are often quite challenging but well worth your effort to work through. In addition to being mathematically correct, your write-ups are expected to show a high level of clarity and completeness.

Math 549 Homework Assignments
Section Recommended Problems Graded Problems Due Date
1.1
5, 7, 8 2 February 2
1.2
1, 2, 3, 8, 9 4, 10 February 2
1.3
5, 6, 9 2, 4, 8 February 2
2.1
5, 8, 9 6, 7 February 16
2.2
1, 2, 6 3, 8 February 16
2.3
3, 8, 9 5, 10 February 16
2.3
11, 12, 15 6, 7 March 2
2.4
2, 4, 6, 7, 8, 11 5 March 2
2.5
2, 5, 8, 10, 11, 12 7, 13, 14 March 2
2.6
6 2, 5 March 23
2.7
1, 2 4, 5 March 23
3.1
1, 3 4, 6 March 23
3.1
5, 6, 9, 10, 12, 13 7, 8 April 6
4.1
11 13 April 6
4.2
4 6 April 6
5.2
2, 5 3, 4, 8, 9 April 20
6.1
6, 7, 8 11 May 2
6.2
1 2 May 2
6.3
1 3 May 2
6.4
1, 3, 4 2 May 2

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Roe Goodman / goodman "at" math "dot" rutgers "dot" edu / Revised April 19, 2005