Lie groups, Lie algebras, and representations an elementary introduction

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Bibliographic Details
Main Author: Hall, Brian C. (Author)
Edition:Second edition.
Series:Graduate texts in mathematics ; 222.
Online Access:Link to e-book
Physical Description:1 online resource (xii, 449 pages) : illustrations.
Bibliography:Includes bibliographical references and index.
Published: Cham : Springer, 2015.
Access:License restrictions may limit access.
Table of Contents:
  • Part I: General Theory.-Matrix Lie Groups
  • The Matrix Exponential
  • Lie Algebras
  • Basic Representation Theory
  • The Baker?Campbell?Hausdorff Formula and its Consequences
  • Part II: Semisimple Lie Algebras
  • The Representations of sl(3;C).-Semisimple Lie Algebras.- Root Systems
  • Representations of Semisimple Lie Algebras
  • Further Properties of the Representations
  • Part III: Compact lie Groups
  • Compact Lie Groups and Maximal Tori
  • The Compact Group Approach to Representation Theory
  • Fundamental Groups of Compact Lie Groups
  • Appendices.