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Special affine group : ウィキペディア英語版
Special affine group
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
:\mathbf\mapsto A\mathbf+\mathbf
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.


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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