{"blog_url":"https://randommemory.hatenablog.com/","published":"2020-10-31 23:28:11","description":"\u666e\u904d\u6027\u4e91\u3005\u306f\u7f6e\u3044\u3066\u304a\u3044\u3066\u3001\u30d9\u30af\u30c8\u30eb\u7a7a\u9593 $V$ \u3092\u7528\u3044\u3066\u3001\u305d\u306e\u53cc\u5bfe\u7a7a\u9593 $V^*$ \u4e0a\u306e $k$ \u91cd\u7dda\u5f62\u5199\u50cf\u306e\u306a\u3059\u7a7a\u9593 $L_k(V^*)$ \u3068\u3057\u3066\u30c6\u30f3\u30bd\u30eb\u7a4d \\begin{align} \\otimes^k V = \\overbrace{V \\otimes \\cdots \\otimes V}^k := L_k(V^*) \\end{align}\u3092\u5b9a\u3081\u308b\u3002\u3053\u306e\u30c6\u30f3\u30bd\u30eb\u7a4d\u306f $V$ \u306e\u5143\u306e \u201c\u639b\u3051\u7b97\u201d \u3068\u3057\u3066\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u4f46\u3057\u3001\u3053\u306e\u6642\u70b9\u3067\u306f\u7a4d\u306b\u3064\u3044\u305f\u4ee3\u6570\u69cb\u9020\u306b\u306a\u3063\u3066\u3044\u306a\u3044\u306e\u3067\u76f4\u548c\u3092\u3068\u3063\u3066\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\u3092\u8003\u3048\u308b\u3002 \\begin{align} \\R \\oplus V \\oplus (V \\otimes\u2026","categories":["math-alg","math-pde"],"author_name":"derwind","provider_url":"https://hatena.blog","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2020%2F10%2F31%2F232811\" title=\"\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\u3068\u64ec\u5fae\u5206\u4f5c\u7528\u7d20\u306e\u4ee3\u6570 - \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_url":"https://blog.hatena.ne.jp/derwind/","version":"1.0","image_url":null,"type":"rich","height":"190","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","url":"https://randommemory.hatenablog.com/entry/2020/10/31/232811","provider_name":"Hatena Blog","title":"\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\u3068\u64ec\u5fae\u5206\u4f5c\u7528\u7d20\u306e\u4ee3\u6570","width":"100%"}