{"provider_url":"https://hatena.blog","url":"https://randommemory.hatenablog.com/entry/2019/09/20/235303","categories":["math-alg"],"blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","title":"\u30c6\u30f3\u30bd\u30eb\u7a7a\u9593","description":"$V = \\mathbb{R}^2$ \u306b\u5bfe\u3057\u3066\u3001\u30c6\u30f3\u30bd\u30eb\u7a4d $V \\otimes V$ \u3092\u8003\u3048\u308b\u3002 $V$ \u306e\u57fa\u5e95\u3092 $e_1,\\ e_2$ \u3068\u3059\u308b\u3002 \u7dda\u578b\u5199\u50cf $\\varphi: V \\otimes V \\to \\mathrm{Mat}(2,\\mathbb{R}^2)$ \u3092 $\\varphi(e_i \\otimes e_j) = (a_{pq}),\\ a_{pq} = \\begin{cases} 1,\\ (p,q) = (i,j) \\\\ 0,\\ (p,q) \\neq (i,j) \\end{cases}$ \u3068\u306a\u308b\u3088\u3046\u306b\u3068\u308b\u3068\u3053\u308c\u306f\u540c\u578b\u5199\u50cf\u306b\u306a\u308b\u306e\u3067\u3001 $V \\otimes V \\simeq \\\u2026","author_url":"https://blog.hatena.ne.jp/derwind/","width":"100%","version":"1.0","height":"190","provider_name":"Hatena Blog","published":"2019-09-20 23:53:03","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2019%2F09%2F20%2F235303\" title=\"\u30c6\u30f3\u30bd\u30eb\u7a7a\u9593 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","author_name":"derwind","image_url":null,"blog_url":"https://randommemory.hatenablog.com/","type":"rich"}