Book Volume 222 2003

Lie Groups, Lie Algebras, and Representations

An Elementary Introduction

Authors:

ISBN: 978-1-4419-2313-4 (Print) 978-0-387-21554-9 (Online)

Table of contents (8 chapters)

  1. Front Matter

    Pages I-XIV

  2. General Theory

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 3-26

      Matrix Lie Groups

    3. No Access

      Chapter

      Pages 27-62

      Lie Algebras and the Exponential Mapping

    4. No Access

      Chapter

      Pages 63-90

      The Baker—Campbell—Hausdorff Formula

    5. No Access

      Chapter

      Pages 91-124

      Basic Representation Theory

  3. Semisimple Theory

    1. Front Matter

      Pages 125-125

    2. No Access

      Chapter

      Pages 127-153

      The Representations of SU(3)

    3. No Access

      Chapter

      Pages 155-190

      Semisimple Lie Algebras

    4. No Access

      Chapter

      Pages 191-241

      Representations of Complex Semisimple Lie Algebras

    5. No Access

      Chapter

      Pages 243-277

      More on Roots and Weights

  4. Back Matter

    Pages 279-354