Mathematics, MIT Spring 08 Textbooks, 18- Mathematics
Lie Groups Beyond an Introduction
MIT Course Number:
18.757
Author:
Knapp, Anthony W.
Isbn 13:
9780817642594
ISBN: 0817642595
Pub Date:
Sep 1, 2002
Publisher:
Springer Verlag
Shipping Weight: 3.25 pounds
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Lie Groups Beyond an Introduction takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics. A feature of the presentation is that it encourages the reader's comprehension of Lie group theory to evolve from beginner to expert: initial insights make use of actual matrices, while later insights come from such structural features as properties of root systems, or relationships among subgroups, or patterns among different subgroups.
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