640:549 Lie Groups -- Homework Assignments

640:549 Lie Groups (Fall, 2009) -- Homework Assignments

Text: Roe Goodman and Nolan Wallach, Symmetry, Representations, and Invariants (Springer Graduate Texts in Mathematics 255)

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. 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 ask for help when you are stuck on a problem. In addition to being mathematically correct, your write-ups are expected to be readable and complete.

Homework Assignments
Section Recommended Problems Graded Problems Due Date
1.1.5
2, 3, 5, 6, 10, 11, 12 4, 7, 8, 9 September 14
1.2.6
1, 5 3, 4 September 14
1.3.8
3 1, 2, 4, 5, 6, 7 September 28
1.4.5
1, 2, 4, 8, 9 3, 5, 6 October 12
1.5.4
3, 4 1, 2, 5 October 12
1.6.4
4, 5, 6, 7 1, 2, 3, 8 October 26
1.7.3
1, 2, 3 4, 5 October 26
2.1.3
2 1, 3, 4 November 9
2.2.4
1, 2, 3 November 9
2.3.4
3, 6 1, 2, 4, 5 November 23
2.4.5
1, 3, 5, 6 2, 4 November 23
3.1.5
4, 6, 7 1, 2, 3, 5 December 10
3.3.5
3 1, 2 December 10

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Roe Goodman / goodman "at" math "dot" rutgers "dot" edu / Revised December 2, 2009
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