Special affine group
From HandWiki
In the mathematical study of transformation groups, the special affine group is the group of affine transformations of a fixed affine space which preserve volume. This is the affine analogue of the special linear group.
On Rn, every special affine transformation has the form
- [math]\displaystyle{ \mathbf{x}\mapsto A\mathbf{x}+\mathbf{b} }[/math]
where A is an n×n matrix of determinant one, and b is a fixed vector in Rn. The special affine group is a subgroup of the affine group.
 | This article does not cite any external source. HandWiki requires at least one external source. See citing external sources. (2021) (Learn how and when to remove this template message) |
 |  |
