Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics

Authors:

ISBN: 978-1-4419-3077-4 (Print) 978-1-4757-1910-9 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-ix

  2. Lie Groups and Algebras

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-20

      Lie Groups

    3. No Access

      Book Chapter

      Pages 21-31

      Lie Algebras

    4. No Access

      Book Chapter

      Pages 32-40

      Lie Groups and Algebras: Matrix Approach

    5. No Access

      Book Chapter

      Pages 41-54

      Applications to Physics and Vice Versa

  3. Differential Geometry and Lie Groups

    1. Front Matter

      Pages 55-55

    2. No Access

      Book Chapter

      Pages 57-75

      Calculus on Manifolds

    3. No Access

      Book Chapter

      Pages 76-88

      Symmetry Groups of Differential Equations

    4. No Access

      Book Chapter

      Pages 89-108

      Invariant Forms on Lie Groups

    5. No Access

      Book Chapter

      Pages 109-115

      Lie Groups and Algebras: Differential Geometric Approach

  4. Algebraic Theory

    1. Front Matter

      Pages 117-117

    2. No Access

      Book Chapter

      Pages 119-129

      General Structure of Lie Algebras

    3. No Access

      Book Chapter

      Pages 130-152

      Structure of Semi-Simple Lie Algebras

    4. No Access

      Book Chapter

      Pages 153-159

      Real Forms

  5. Representation Theory

    1. Front Matter

      Pages 161-161

    2. No Access

      Book Chapter

      Pages 163-180

      Representation Theory

    3. No Access

      Book Chapter

      Pages 181-186

      Spinor Representations

  6. Applications

    1. Front Matter

      Pages 187-187

    2. No Access

      Book Chapter

      Pages 189-207

      Applications

  7. Back Matter

    Pages 208-217