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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
- Lie algebra of $S O (3)$  link Special orthogonal group 155
  - Lie bracket of the rotation group link Lie algebra of $S O (3)$  16
- 3D rotation group ( $S O (3)$ ) link Special orthogonal group 4

 Ancestors

 Incoming links

 Synonyms