Important Lie groups

| 🗖 nosplit | ↑ parent "Lie group" | 0, 693, 13

🗖 nosplit | ⇓ toc | ↑ parent "Lie group" | 0, 693, 13

Table of contents | 0, 693, 13
- 1. General linear group ( $G L (n)$ ) | 44 | 🔗 link | 🗖 nosplit | ↑ parent "Important Lie groups"
- 2. Special linear group ( $S L (n)$ ) | 18 | 🔗 link | 🗖 nosplit | ↑ parent "Important Lie groups"
- 3. Orthogonal group ( $O (n)$ ) | 159, 181, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Important Lie groups"
  - 3.1. Special orthogonal group ( $S O (n)$ ) | 22 | 🔗 link | 🗖 nosplit | ↑ parent "Orthogonal group"
- 4. Unitary group ( $U (n)$ ) | 82, 155, 3 | 🔗 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 | 19 | 🔗 link | 🗖 nosplit | ↑ parent "Unitary group"
  - 4.3. Special unitary group ( $S U (n)$ ) | 49 | 🔗 link | 🗖 nosplit | ↑ parent "Unitary group"
- 5. Poincare group | 192, 295, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Important Lie groups"
  - 5.1. Galilean transformation | 🔗 link | 🗖 nosplit | ↑ parent "Poincare group"
  - 5.2. Lorentz group ( $S O (1, 3)$ ) | 61, 103, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Poincare group"
    - 5.2.1. Lorentz boost | 24 | 🔗 link | 🗖 nosplit | ↑ parent "Lorentz group"
    - 5.2.2. Indefinite orthogonal group ( $S O (m, n)$ ) | 18 | 🔗 link | 🗖 nosplit | ↑ parent "Lorentz group"

Ancestors

Lie group | 198, 1k, 19
Important mathematical groups | 0, 1k, 25
Group | 0, 2k, 47
Algebra | 0, 2k, 65
Mathematics | 17, 10k, 239
Ciro Santilli's Homepage | 238, 147k, 2k