Important Lie groups | 🗖 nosplit | ↑ parent "Lie group" | 0, 11, 434

🗖 nosplit | ⇓ toc | ↑ parent "Lie group" | 0, 11, 434

Table of contents | 0, 11, 434
- 1. General linear group ( $G L (n)$ ) | 42 | 🔗 link | 🗖 nosplit | ↑ parent "Important Lie groups"
- 2. Special linear group ( $S L (n)$ ) | 17 | 🔗 link | 🗖 nosplit | ↑ parent "Important Lie groups"
- 3. Orthogonal group ( $O (n)$ ) | 154, 1, 175 | 🔗 link | 🗖 nosplit | ↑ parent "Important Lie groups"
  - 3.1. Special orthogonal group ( $S O (n)$ ) | 21 | 🔗 link | 🗖 nosplit | ↑ parent "Orthogonal group"
- 4. Unitary group ( $U (n)$ ) | 77, 3, 147 | 🔗 link | 🗖 nosplit | ↑ parent "Important Lie groups"
  - 4.1. Unitary group of dimension 2 ( $U (2)$ ) | 5 | 🔗 link | 🗖 nosplit | ↑ parent "Unitary group"
  - 4.2. Unit circle | 18 | 🔗 link | 🗖 nosplit | ↑ parent "Unitary group"
  - 4.3. Special unitary group ( $S U (n)$ ) | 47 | 🔗 link | 🗖 nosplit | ↑ parent "Unitary group"
- 5. Poincare group | 21, 2, 53 | 🔗 link | 🗖 nosplit | ↑ parent "Important Lie groups"
  - 5.1. Lorentz group ( $S O (1, 3)$ ) | 15, 1, 32 | 🔗 link | 🗖 nosplit | ↑ parent "Poincare group"
    - 5.1.1. Indefinite orthogonal group ( $S O (m, n)$ ) | 17 | 🔗 link | 🗖 nosplit | ↑ parent "Lorentz group"