Ciro Santilli
🔗
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"