Lectures On Lie Groups (Second Edition)

Lectures On Lie Groups (Second Edition)

by Wu-yi Hsiang

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Product Details

ISBN-13: 9789814740715
Publisher: World Scientific Publishing Company, Incorporated
Publication date: 06/01/2017
Series: Series On University Mathematics Series , #9
Pages: 160
Product dimensions: 6.00(w) x 1.25(h) x 9.00(d)

Table of Contents

Preface v

Lecture 1 Linear Groups and Linear Representations 1

Lecture 2 Lie Groups and Lie Algebras 21

Lecture 3 Orbital Geometry of the Adjoint Action 39

Lecture 4 Coxeter Groups, Weyl Reduction and Weyl Formulas 59

Lecture 5 Structural Theory of Compact Lie Algebras 80

Lecture 6 Classification Theory of Compact Lie Algebras and Compact Connected Lie Groups 94

Lecture 7 Basic Structural Theory of Lie Algebras 110

Lecture 8 Classification Theory of Complex Semi-Simple Lie Algebras 124

Lecture 9 Lie Groups and Symmetric Spaces, the Classification of Real Semi-Simple Lie Algebras and Symmetric Spaces 131

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