Ciro Santilli
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Special orthogonal group (
S
O
(
n
)
, Rotation group)
Orthogonal group
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nosplit
words:
206
Group of rotations of a rigid body.
Like
orthogonal group
but without reflections. So it is a "special case" of the orthogonal group.
This is a subgroup of both the
orthogonal group
and the
special linear group
.
Table of contents
206
Lie algebra of
S
O
(
3
)
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Special orthogonal group
155
Lie bracket of the rotation group
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Lie algebra of
S
O
(
3
)
16
3D rotation group (
S
O
(
3
)
)
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nosplit
Special orthogonal group
4
Ancestors
Orthogonal group
Important Lie group
Lie group
Differential geometry
Geometry
Mathematics
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Incoming links
Connected components of the orthogonal group
Indefinite special orthogonal group
Lie group
Lecture 1
Special unitary group
Symplectic group