The transformations from the primitive cells of the centered Bravais lattices to the corresponding centered cells have conventionally been listed as three-by-three matrices that transform three-space lattice vectors. Using those three-by-three matrices when working in the six-dimensional space of lattices represented as Selling scalars as used in Delone (Delaunay) reduction, one could transform to the three-space representation, apply the three-by-three matrices and then back-transform to the six-space representation, but it is much simpler to have the equivalent six-by-six matrices and apply them directly. The general form of the transformation from the three-space matrix to the corresponding matrix operating on Selling scalars (expressed in space S6) is derived, and the particular S6matrices for the centered Delone types are listed. (Note: in his later publications, Boris Delaunay used the Russian version of his surname, Delone.).

中文翻译：

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在S6中将Delone标量的三空间矩阵转换为等效的六空间矩阵。

从居中的Bravais晶格的原始像元到相应居中的像元的转换按常规被列为转换三空间晶格矢量的三乘三矩阵。在Delone（Delaunay）约简中使用的表示为Selling scalars的格的六维空间中使用这些三乘三矩阵，可以将其转换为三空间表示，应用三乘三矩阵，然后将其反向转换为六空间表示，但是拥有等效的六乘六矩阵并直接应用它们要简单得多。推导了从三空间矩阵到在Selling标量上操作的相应矩阵（在空间S6中表示）的转换的一般形式，并列出了居中的Delone类型的特定S6矩阵。（注意：