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Lie Groups Beyond an Introduction

Lie Groups Beyond an Introduction PDF Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 1475724535
Category : Mathematics
Languages : en
Pages : 622

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Book Description
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.