{"id":2550,"date":"2024-08-26T08:06:36","date_gmt":"2024-08-26T08:06:36","guid":{"rendered":"https:\/\/science-hub.click\/%E3%83%95%E3%83%AD%E3%83%99%E3%83%8B%E3%82%A6%E3%82%B9%E3%81%AE%E4%BA%92%E6%81%B5%E6%80%A7%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2024-08-26T08:06:36","modified_gmt":"2024-08-26T08:06:36","slug":"%E3%83%95%E3%83%AD%E3%83%99%E3%83%8B%E3%82%A6%E3%82%B9%E3%81%AE%E4%BA%92%E6%81%B5%E6%80%A7%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=2550","title":{"rendered":"\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u4e92\u6075\u6027\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><h2>\u5c0e\u5165<\/h2><div><div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/bzHYS0RIDaI\/0.jpg\" style=\"width:100%;\"\/><\/figure><div>\u30d5\u30a7\u30eb\u30c7\u30a3\u30ca\u30f3\u30c9\u30fb\u30b2\u30aa\u30eb\u30af\u30fb\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9 \u6587\u5b57\u7406\u8ad6\u306e\u5275\u59cb\u8005<\/div><\/div><\/div><p>\u6570\u5b66\u3001\u3088\u308a\u6b63\u78ba\u306b\u306f\u6709\u9650\u7fa4\u306e\u8868\u73fe\u7406\u8ad6\u306e\u6587\u8108\u3067\u306f\u3001<b>\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u76f8\u53cd\u6027\u516c\u5f0f\u306f\u3001<\/b><span><a href=\"https:\/\/science-hub.click\/?p=70227\">\u6709\u9650\u7fa4<\/a><\/span><i>G<\/i>\u3068<i>G<\/i>\u306e\u90e8\u5206\u7fa4<i>H<\/i>\u306e 2 \u3064\u306e\u4e2d\u5fc3\u95a2\u6570\u9593\u306e\u95a2\u4fc2\u3092\u78ba\u7acb\u3057\u307e\u3059\u3002<\/p><p> \u03c7 <sub>1 \u304c<\/sub><i>H<\/i>\u306e\u6587\u5b57\u3067\u3042\u308b\u5834\u5408\u3001 <i>Ind<\/i> (\u03c7 <sub>1<\/sub> ) \u306f\u4e00\u822c\u306b\u8a98\u5c0e\u8868\u73fe\u306e\u6587\u5b57\u3092\u6307\u5b9a\u3057\u307e\u3059\u3002\u9006\u306b\u3001\u03c7 <sub>2 \u304c<\/sub><i>G<\/i>\u306e\u6587\u5b57\u3067\u3042\u308b\u5834\u5408\u3001 <i>Res<\/i> (\u03c7 <sub>2 \u306f<\/sub><i>H<\/i>\u3078\u306e\u6587\u5b57\u306e\u5236\u9650\u3067\u3059\u3002&lt; | &gt; \u304c\u4e2d\u5fc3\u95a2\u6570\u7a7a\u9593\u306e\u30a8\u30eb\u30df\u30fc\u30c8\u5f62\u5f0f\u3092\u8868\u3059\u5834\u5408\u3001<b>\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u76f8\u53cd\u516c\u5f0f\u306f<\/b>\u6b21\u306e\u7b49\u5f0f\u3092\u8868\u3057\u307e\u3059\u3002 <\/p><div class=\"math-formual notranslate\">$$ {<ind_h^g\\psi|\\chi>=&lt;\\psi|Res_H^G\\chi&gt;} $$<\/ind_h^g\\psi|\\chi><\/div><p>\u3053\u306e\u516c\u5f0f\u306e\u540d\u524d\u306f\u30011898 \u5e74\u306b\u3053\u306e\u516c\u5f0f\u306e\u7cbe\u5ea6\u3092\u521d\u3081\u3066\u78ba\u7acb\u3057\u305f\u30d5\u30a7\u30eb\u30c7\u30a3\u30ca\u30f3\u30c9 \u30b2\u30aa\u30eb\u30af \u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306b\u7531\u6765\u3057\u3066\u3044\u307e\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u4e92\u6075\u6027\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/XHXFIT3PymA\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u58f0\u660e<\/h2><p><i>G \u3092<\/i>\u6709\u9650\u7fa4\u3001 <i>H \u3092<\/i><i>G<\/i>\u306e\u90e8\u5206\u7fa4\u3001 <i>K \u3092<\/i>\u6a19\u6570 0 \u307e\u305f\u306f\u7fa4<i>G<\/i>\u306e\u4f4d\u6570\u3067\u3042\u308b<i>g<\/i>\u3068\u7d20\u6570\u306e\u53ef\u63db\u4f53\u3068\u3059\u308b\u3002 <i>K \u304c<\/i>\u6709\u9650\u306e\u7279\u6027\u3092\u6301\u3064\u5834\u5408\u3001\u305d\u308c\u306f\u4ee3\u6570\u7684\u3067\u3059\u3002\u3059\u3079\u3066\u306e\u5834\u5408\u306b\u304a\u3044\u3066\u3001<span><a href=\"https:\/\/science-hub.click\/?p=35323\">\u591a\u9805\u5f0f<\/a><\/span><i>X<\/i> <sup>g<\/sup> &#8211; 1 \u306f<i>K<\/i>\u3067\u5206\u5272\u3055\u308c\u307e\u3059\u3002 ( <i>W<\/i> , \u03b8) \u3092\u30d5\u30a3\u30fc\u30eb\u30c9<i>K<\/i> \u3001 <i>Ind<\/i> (\u03b8) \u307e\u305f\u306f<i>Ind<\/i> <sub>H<\/sub>\u4e0a\u306e<i>H<\/i>\u306e\u8868\u73fe\u3068\u3057\u307e\u3059\u3002 <sup>G<\/sup> (\u03b8) \u306f ( <i>W<\/i> , \u03b8) \u306b\u3088\u308b<i>G<\/i>\u306e\u8a98\u5c0e\u8868\u73fe\u3092\u8868\u3057\u3001\u03c8 \u306f \u03b8 \u306e\u6027\u8cea\u3092\u8868\u3057\u307e\u3059\u3002 ( <i>V<\/i> , \u03c1) \u3092\u4f53<i>K<\/i>\u4e0a\u306e<i>G<\/i>\u306e\u8868\u73fe\u3068\u3057\u307e\u3059\u3002\u3053\u306e\u8868\u73fe\u306e<i>H<\/i>\u3078\u306e\u5236\u9650\u306f\u3001 <i>Res<\/i> (\u03c1) \u307e\u305f\u306f<i>Res<\/i> <sub>H<\/sub> <sup>G<\/sup> (\u03c1) \u304a\u3088\u3073\u305d\u306e\u6587\u5b57 \u03c7 \u3067\u793a\u3055\u308c\u307e\u3059\u3002\u4e2d\u5fc3\u95a2\u6570\u306e\u6b63\u6e96<span><a href=\"https:\/\/science-hub.click\/?p=33504\">\u53cc\u4e00\u6b21\u5f62\u5f0f\u306f<\/a><\/span>\u3001\u305d\u306e\u6b63\u78ba\u306a<span><a href=\"https:\/\/science-hub.click\/?p=74671\">\u5b9a\u7fa9<\/a><\/span>\u306f\u6587\u5b57\u306b\u95a2\u3059\u308b\u6bb5\u843d\u3067<span>\u793a\u3055\u308c\u3066<\/span>\u304a\u308a\u3001&lt; | \u3067\u793a\u3055\u308c\u307e\u3059\u3002 &gt; <sub>H<\/sub>\u307e\u305f\u306f &lt; | &gt; <sub>G \u306f<\/sub>\u4f7f\u7528\u3059\u308b\u30b0\u30eb\u30fc\u30d7\u306b\u5fdc\u3058\u3066\u7570\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u8868\u8a18\u6cd5\u306f\u8a18\u4e8b<span><a href=\"https:\/\/science-hub.click\/?p=95765\">\u5168\u4f53<\/a><\/span>\u306b\u6709\u52b9\u3067\u3001<b>\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u76f8\u53cd\u6027\u516c\u5f0f<\/b>\u3068\u547c\u3070\u308c\u308b\u6b21\u306e\u7279\u6027\u3092\u8868\u73fe\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p><dl><dd><ul><li><i>\u6b21\u306e 2 \u3064\u306e\u30b9\u30ab\u30e9\u30fc\u306f\u7b49\u3057\u3044\u3067\u3059\u3002<\/i> <\/li><\/ul><\/dd><\/dl><div class=\"math-formual notranslate\">$$ {<ind_h^g \\;\\psi\\;=\"\" \\chi=\"\" |\\;=\"\">_G=&lt;\\psi\\; |\\; Res_H^G\\; \\chi&gt;_H} $$<\/ind_h^g><\/div><p>\u6b21\u306e\u65b9\u6cd5\u3067\u3001\u95a2\u6570<i>Ind<\/i> <sub>H<\/sub> <sup>G \u3092<\/sup><i>H<\/i>\u306e\u4e2d\u5fc3\u95a2\u6570\u306e<span><a href=\"https:\/\/science-hub.click\/?p=5244\">\u30d9\u30af\u30c8\u30eb\u7a7a\u9593<\/a><\/span>\u306b\u4e00\u822c\u5316\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p><dl><dd><ul><li> <i>f \u3092<\/i><i>K<\/i>\u306e\u5024\u3092\u6301\u3064<i>H<\/i>\u306e\u4e2d\u5fc3\u95a2\u6570\u3068\u3057\u3001 <i>C \u3092<\/i>\u5de6\u5074\u306e\u30af\u30e9\u30b9\u306e\u4ee3\u8868\u7cfb\u3068\u3059\u308b\u3068\u3001\u95a2\u6570<b><i>Ind<\/i> <sub>H<\/sub> <sup>G<\/sup> ( <i>f<\/i> )<\/b>\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002 <\/li><\/ul><\/dd><\/dl><center><div class=\"math-formual notranslate\">$$ {\\forall s \\in G \\quad Ind_H^G \\; f(s) = \\sum_{c\\in C \\, c^{-1}sc \\in H} f(c^{-1}sc) \\;} $$<\/div><\/center><p>\u3053\u306e\u5b9a\u7fa9\u306b\u3088\u308a\u3001\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u76f8\u53cd\u6027\u516c\u5f0f\u3092\u4e00\u822c\u5316\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p><dl><dd><ul><li> f \u3092 H<i>\u306e\u4e2d\u5fc3\u95a2\u6570<\/i><i>\u3001<\/i> g \u3092 G<i>\u306e\u4e2d\u5fc3\u95a2\u6570<\/i><i>\u3068<\/i>\u3059\u308b<i>\u3068\u3001\u6b21\u306e\u7b49\u5f0f\u304c\u691c\u8a3c\u3055\u308c\u307e\u3059\u3002<\/i> <\/li><\/ul><\/dd><\/dl><div class=\"math-formual notranslate\">$$ {<ind_h^g \\;=\"\" f\\;=\"\" |\\;g=\"\">_G=<f\\; \\;=\"\" g=\"\" |\\;res_h^g=\"\">_H} $$<\/f\\;><\/ind_h^g><\/div><p>\u3053\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u8868\u73fe\u3059\u308b\u5225\u306e\u65b9\u6cd5\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p><dl><dd><ul><li> <i>Ind H G \u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306f<\/i>Res <i><sub>H<\/sub> <sup>G<\/sup><\/i><i>\u306e<sup>\u4ee3\u7406<\/sup><sub>\u3067\u3059<\/sub><\/i>\u3002<\/li><\/ul><\/dd><\/dl><h2>\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3<\/h2><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u4e92\u6075\u6027\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/AnG4p2tkCYA\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span>\u30ad\u30e3\u30e9\u30af\u30bf\u30fc<\/span><\/h3><p>\u524d\u8ff0\u306e\u8868\u8a18\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p><dl><dd><ul><li> s \u304c G<i>\u306e\u8981\u7d20\u3067\u3042\u308b<\/i><i>\u5834\u5408<\/i><i>\u3001\u03c8 \u306f \u03b8 \u306e\u6587\u5b57\u3001 H \u306e\u8868\u73fe<\/i><i>\u3001<\/i> C \u306f<i>\u5171\u5f79\u30af\u30e9\u30b9\u306e\u4ee3\u8868\u7cfb (\u3064\u307e\u308a\u3001\u5404\u30af\u30e9\u30b9\u306e\u4ee3\u8868)\u3001<\/i> h \u306f H<i>\u306e\u6b21\u6570\u3092<\/i>\u8868\u3057<i>\u3001\u6587\u5b57\u306e\u5024\u3092\u8868\u3057\u307e\u3059\u3002<\/i> G<i>\u306e<\/i><i>\u70b9 t \u306b\u304a\u3051\u308b \u03c7 \u306f<\/i><i>\u6b21\u306e\u5f0f\u3067\u4e0e\u3048\u3089\u308c\u307e\u3059\u3002<\/i> <\/li><\/ul><\/dd><\/dl><center><div class=\"math-formual notranslate\">$$ {\\forall t \\in G \\quad \\chi(t)=\\sum_{c\\in C \/ c^{-1}tc \\in H} \\psi(c^{-1}tc) = \\frac 1h \\sum_{s\\in G \/ s^{-1}ts \\in H} \\psi(s^{-1}ts)\\;} $$<\/div><\/center><p> \u03c1 <sub>t<\/sub>\u306e\u884c\u5217\u3092\u5404 \u03c1 <sub>t<\/sub> <i>W<\/i>\u306b\u5bfe\u5fdc\u3059\u308b\u30d6\u30ed\u30c3\u30af\u884c\u5217\u3068\u3057\u3066\u8003\u3048\u308b\u3068\u3001<span><a href=\"https:\/\/science-hub.click\/?p=100875\">\u5bfe\u89d2\u7dda<\/a><\/span>\u4e0a\u306e\u30d6\u30ed\u30c3\u30af\u306e\u307f\u304c<span><a href=\"https:\/\/science-hub.click\/?p=59617\">\u30c8\u30ec\u30fc\u30b9<\/a><\/span>\u3092\u5909\u66f4\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002 \u03c1 <sub>c<\/sub> <i>W<\/i>\u304c\u03c1 <sub>t<\/sub>\u306b\u3088\u3063\u3066\u5b89\u5b9a\u3059\u308b\u3088\u3046\u306a\u8981\u7d20<i>c<\/i>\u306e<i>C<\/i>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=57227\">\u90e8\u5206\u96c6\u5408<\/a><\/span>\u3092<i>C<\/i> <sub>t<\/sub>\u306b\u3088\u3063\u3066\u8868\u3059\u3053\u3068\u306b\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u305d\u308c\u3089\u306f\u5bfe\u89d2\u7dda\u306e\u30d6\u30ed\u30c3\u30af\u884c\u5217\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u6b21\u306b\u3001Tr \u304c\u30c8\u30ec\u30fc\u30b9\u3092\u8868\u3059\u5834\u5408\u3001\u6b21\u306e\u5f0f\u3092\u53d6\u5f97\u3057\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {\\chi(t)=\\sum_{c\\in C_t} Tr(Res_{\\rho_cW}\\;\\rho_t)} $$<\/div><\/center><p> <i>c<\/i> <sup>-1<\/sup> t<i>\u304c<\/i><i>H<\/i>\u306e\u8981\u7d20\u3067\u3042\u308b\u5834\u5408\u306b\u9650\u308a\u3001 <i>c<\/i>\u306f<i>C<\/i> <sub>t<\/sub>\u306e\u8981\u7d20\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {\\forall w \\in W \\; \\forall c \\in C_t \\quad \\rho_{c^{-1}}\\circ\\rho_t\\circ\\rho_c(w)=\\theta_{c^{-1}tc}(w)\\quad et \\quad  Tr(Res_{\\rho_cW}\\;\\rho_t)= Tr (\\theta_{c^{-1}tc})=\\psi(c^{-1}tc)} $$<\/div><\/center><p>\u3053\u308c\u306f\u6700\u521d\u306e\u5f0f\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002 2 \u756a\u76ee\u306e\u5834\u5408\u3001 <i>C<\/i> <sub>t<\/sub>\u306e\u8981\u7d20\u306e\u5de6\u5074\u306b\u3042\u308b\u30af\u30e9\u30b9\u306e\u3059\u3079\u3066\u306e\u4ee3\u8868\u304c \u03b8( <i>s<\/i> <sup>-1<\/sup> <i>ts<\/i> ) \u306e\u5f62\u5f0f\u306e\u6e96\u540c\u578b\u884c\u5217\u3092\u6301\u3061\u3001\u305d\u306e\u30c8\u30ec\u30fc\u30b9\u304c \u03c8( <i>s<\/i> <sup>-1<\/sup> <i>ts<\/i> ) \u306b\u7b49\u3057\u3044\u3053\u3068\u306b\u6ce8\u610f\u3059\u308b\u3060\u3051\u3067\u5341\u5206\u3067\u3059\u3002 \u3002<\/p><p>\u6b21\u306e\u65b9\u6cd5\u3067\u3001\u95a2\u6570<i>Ind<\/i> <sub>H<\/sub> <sup>G \u3092<\/sup><i>H<\/i>\u306e\u4e2d\u5fc3\u95a2\u6570\u306e\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u306b\u4e00\u822c\u5316\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p><dl><dd><ul><li> <i>f \u3092<\/i><i>K<\/i>\u306e\u5024\u3092\u6301\u3064<i>H<\/i>\u306e\u4e2d\u5fc3\u95a2\u6570\u3068\u3057\u3001 <i>C \u3092<\/i>\u5de6\u5074\u306e\u30af\u30e9\u30b9\u306e\u4ee3\u8868\u7cfb\u3068\u3059\u308b\u3068\u3001\u95a2\u6570<b><i>Ind<\/i> <sub>H<\/sub> <sup>G<\/sup> ( <i>f<\/i> )<\/b>\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002 <\/li><\/ul><\/dd><\/dl><center><div class=\"math-formual notranslate\">$$ {\\forall s \\in G \\quad Ind_H^G \\; f(s) = \\sum_{c\\in C \\, c^{-1}sc \\in H} f(c^{-1}sc) \\;} $$<\/div><\/center><p>\u3053\u306e\u5b9a\u7fa9\u306b\u3088\u308a\u3001\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u76f8\u53cd\u6027\u516c\u5f0f\u3092\u4e00\u822c\u5316\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p><h3><span>\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u76f8\u53cd\u6027<\/span><\/h3><p>\u6b21\u306b\u3001\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u76f8\u53cd\u6027\u306e\u516c\u5f0f\u3092\u8a3c\u660e\u3057\u307e\u3057\u3087\u3046\u3002<\/p><dl><dd><ul><li> f \u3092 H<i>\u306e\u4e2d\u5fc3\u95a2\u6570<\/i><i>\u3001<\/i> g \u3092 G<i>\u306e\u4e2d\u5fc3\u95a2\u6570<\/i><i>\u3068<\/i>\u3059\u308b<i>\u3068\u3001\u6b21\u306e\u7b49\u4fa1\u6027\u304c\u691c\u8a3c\u3055\u308c\u307e\u3059\u3002<\/i> <\/li><\/ul><\/dd><\/dl><div class=\"math-formual notranslate\">$$ {<ind_h^g \\;=\"\" f\\;=\"\" |\\;g=\"\">_G=<f\\; \\;=\"\" g=\"\" |\\;res_h^g=\"\">_H} $$<\/f\\;><\/ind_h^g><\/div><p>\u8868\u73fe\u306e\u6587\u5b57\u306f\u4e2d\u5fc3\u95a2\u6570\u306e\u7a7a\u9593\u306e\u57fa\u790e\u3068\u306a\u308b\u306e\u3067\u3001\u305d\u306e\u6587\u5b57\u306e\u5f0f\u3092\u8a3c\u660e\u3059\u308c\u3070\u5341\u5206\u3067\u3059\u3002 <i>G<\/i>\u30e2\u30b8\u30e5\u30fc\u30eb\u306b\u95a2\u3057\u3066\u306f\u3001\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p><dl><dd><ul><li> W \u3092 H<i>\u30e2\u30b8\u30e5\u30fc\u30eb<\/i><i>\u3001<\/i> V \u3092 G \u30e2\u30b8\u30e5\u30fc\u30eb<i>\u3068<\/i><i>\u3059\u308b<\/i><i>\u3068\u3001\u6b21\u306e\u5f0f\u304c\u691c\u8a3c\u3055\u308c\u307e\u3059\u3002<\/i> <\/li><\/ul><\/dd><\/dl><div class=\"math-formual notranslate\">$$ {<ind_h^g \\;=\"\" w\\;=\"\" |\\;v=\"\">_G=<w\\; \\;=\"\" v=\"\" |\\;res_h^g=\"\">_H} $$<\/w\\;><\/ind_h^g><\/div><p>\u3053\u306e\u547d\u984c\u3092\u5b9f\u8a3c\u3059\u308b\u305f\u3081\u306b\u3001 <i>Hom<\/i> <sup>H<\/sup> ( <i>W<\/i> , Res V) \u3068<i>Hom<\/i> <sup>G<\/sup> (Ind <i>W<\/i> , <i>V<\/i> ) \u304c\u540c\u578b\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044<i>(\u8a18\u4e8b\u300c\u6709\u9650\u7fa4\u306e\u8a98\u5c0e\u8868\u73fe\u300d\u306e\u30c9\u30ed\u30c3\u30d7\u30c0\u30a6\u30f3 \u30dc\u30c3\u30af\u30b9\u306e\u5b9f\u8a3c\u3092\u53c2\u7167)\u3002<\/i>\u305d\u308c\u3089\u306e<span><a href=\"https:\/\/science-hub.click\/?p=84871\">\u6b21\u5143\u306f<\/a><\/span>\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u7b49\u3057\u3044\uff1a <\/p><center><div class=\"math-formual notranslate\">$$ {Dim\\; Hom^G (Ind_H^G \\; W\\; ,\\; V) = Dim\\; Hom^H (W\\; ,\\;Res_H^G\\; V) } $$<\/div><\/center><p>\u305f\u3060\u3057\u3001\u3053\u308c\u3089\u306e\u6b21\u5143\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u8868\u73fe\u306e<span><a href=\"https:\/\/science-hub.click\/?p=69519\">\u30b9\u30ab\u30e9\u30fc\u7a4d<\/a><\/span>\u306b\u6b63\u78ba\u306b\u5bfe\u5fdc\u3057\u307e\u3059<i>(\u8a18\u4e8b\u300c\u6709\u9650\u7fa4\u306e\u4ee3\u6570\u300d\u306e\u300c\u4ee3\u6570\u306e\u4e2d\u5fc3\u300d\u306e\u6bb5\u843d\u3092\u53c2\u7167)\u3002<\/i>\u3053\u308c\u3067\u5b9f\u8a3c\u304c\u5b8c\u4e86\u3057\u307e\u3059\u3002<\/p><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/da.wikipedia.org\/wiki\/Reciprocitet\">Reciprocitet \u2013 danois<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Reziprozit%C3%A4t\">Reziprozit\u00e4t \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Reciprocity\">Reciprocity \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/es.wikipedia.org\/wiki\/Reciprocidad\">Reciprocidad \u2013 espagnol<\/a><\/li><li><a class=\"notranslate\" href=\"https:\/\/ja.wikipedia.org\/wiki\/%E7%9B%B8%E4%BA%92%E5%BE%8B\">\u76f8\u4e92\u5f8b \u2013 japonais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ru.wikipedia.org\/wiki\/%D0%A0%D0%B5%D1%86%D0%B8%D0%BF%D1%80%D0%BE%D0%BA%D0%BD%D0%BE%D1%81%D1%82%D1%8C\">\u0420\u0435\u0446\u0438\u043f\u0440\u043e\u043a\u043d\u043e\u0441\u0442\u044c \u2013 russe<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u4e92\u6075\u6027\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u304a\u3046\u3061\u751f\u7269\u300028.  PCR\u6cd5\u3068\u96fb\u6c17\u6cf3\u52d5\u3000\uff08\u9ad8\u6821\u751f\u7269\uff09\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/-AH1SFYQRgQ?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5c0e\u5165 \u30d5\u30a7\u30eb\u30c7\u30a3\u30ca\u30f3\u30c9\u30fb\u30b2\u30aa\u30eb\u30af\u30fb\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9 \u6587\u5b57\u7406\u8ad6\u306e\u5275\u59cb\u8005 \u6570\u5b66\u3001\u3088\u308a\u6b63\u78ba\u306b\u306f\u6709\u9650\u7fa4\u306e\u8868\u73fe\u7406\u8ad6\u306e\u6587\u8108\u3067\u306f\u3001\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u76f8\u53cd\u6027\u516c\u5f0f\u306f\u3001\u6709\u9650\u7fa4G\u3068G\u306e\u90e8\u5206\u7fa4H\u306e 2 \u3064\u306e\u4e2d\u5fc3\u95a2\u6570\u9593\u306e\u95a2\u4fc2\u3092\u78ba\u7acb\u3057\u307e\u3059\u3002 \u03c7 1 \u304cH\u306e [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2551,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/_0zxX64f7AE\/0.jpg","fifu_image_alt":"\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u4e92\u6075\u6027\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[11,13,14,10,3121,3119,3120,12,8,16,15,9],"class_list":["post-2550","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-frobenius","tag-reciprocite-de-frobenius","tag-reciprocite","tag-dossier","tag-definition","tag-sciences","tag-article","tag-explications"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/2550"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2550"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/2550\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/2551"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2550"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2550"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2550"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}