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SO(5)
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SO(5) : ウィキペディア英語版
SO(5)

In mathematics, SO(5), also denoted SO5(R) or SO(5,R), is the special orthogonal group of degree 5 over the field R of real numbers, i.e. (isomorphic to) the group of orthogonal 5×5 matrices of determinant 1.
==Geometric interpretation==

SO(5) is a subgroup of the direct Euclidean group ''E''+(5), the group of ''direct'' isometries, i.e., isometries preserving orientation, of R5, consisting of elements which leave the origin fixed.
More precisely, we have:
:''SO''(''5'') \cong ''E''+(5) ''/ T''
where ''T'' is the translational group of R5.

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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