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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Special linear group ： ウィキペディア英語版 Special linear group In mathematics, the special linear group of degree ''n'' over a field ''F'' is the set of matrices with determinant 1, with the group operations of ordinary matrix multiplication and matrix inversion. This is the normal subgroup of the general linear group given by the kernel of the determinant :$\backslash det\backslash colon\; \backslash operatorname(n,\; F)\; \backslash to\; F^\backslash times.$ where we write ''F''× for the multiplicative group of ''F'' (that is, ''F'' excluding 0). These elements are "special" in that they fall on a subvariety of the general linear group – they satisfy a polynomial equation (since the determinant is polynomial in the entries). ==Geometric interpretation== The special linear group can be characterized as the group of ''volume and orientation preserving'' linear transformations of R''n''; this corresponds to the interpretation of the determinant as measuring change in volume and orientation. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Special linear group」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.