Index of Lie Group Theory

Lie Group Theory

• Ch. 1 Basic Geometry

  • 1.1 Rotations of Plane

  • 1.2 Complex Numbers

  • 1.3 Quaternions

  • 1.4 Quaternion Reperesentation of Rotations

• Ch. 2 Basic Group Theory

  • 2.1 Shortcut for Groups

  • 2.2 Shortcut for Homomorphism

  • 2.3 $SU(2)$ and $SO(3)$

  • 2.4 Isometry and Reflection

  • 2.5 Rotations of $\mathbb{R}^4$

  • 2.6 Direct products

  • 2.7 The Map from $SU(2) \times SU(2)$ to $SO(4)$