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Special orthogonal group ( $S O (n)$ , Rotation group)

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 3
- Lie algebra of $S O (3)$ Special orthogonal group 171 1
  - Lie bracket of the rotation group Lie algebra of $S O (3)$ 16
- 3D rotation group ( $S O (3)$ ) Special orthogonal group 4

 Ancestors (8)

 Incoming links (6)

 Synonyms (4)