Special orthogonal group ↩

aliases: [Rotation group, SO]
shorthands: {}
created: 2022-11-13 11:51:29
modified: 2022-11-13 11:59:09

Short definition

The set of invertible orthogonal matrices with real coefficients such that

is a group under matrix multiplication, with identity element the identity matrix , we also have as in O(n).

This is called the special orthogonal group or the rotation group and is usually denoted .

Notes

• It is a subgroup of O(n) and SL too.