Ciro Santilli $$ Sponsor Ciro $$ 中国独裁统治 China Dictatorship 新疆改造中心、六四事件、法轮功、郝海东、709大抓捕、2015巴拿马文件邓家贵、低端人口、西藏骚乱

Important Lie groups

| 🗖 nosplit | ↑ parent "Lie group" | words: 0 | descendant words: 978 | descendants: 14

🗖 nosplit | ⇓ toc | ↑ parent "Lie group" | words: 0 | descendant words: 978 | descendants: 14

Table of contents | 0, 978, 14
- 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, 580, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Important Lie groups"
  - 5.1. Galilean transformation | 0, 285, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Poincare group"
    - 5.1.1. Galilean invariance | 285 | 🔗 link | 🗖 nosplit | ↑ parent "Galilean transformation"
  - 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 | 233, 2k, 24
Differential geometry | 12, 2k, 25
Geometry | 0, 2k, 34
Mathematics | 17, 13k, 336
Ciro Santilli's Homepage | 262, 182k, 3k