[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/jp\/wiki29\/archives\/290724#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/jp\/wiki29\/archives\/290724","headline":"\u30e4\u30f3\u30b0\u675f – Wikipedia","name":"\u30e4\u30f3\u30b0\u675f – Wikipedia","description":"\u539f\u6587\u3068\u6bd4\u3079\u305f\u7d50\u679c\u3001\u3053\u306e\u8a18\u4e8b\u306b\u306f\u591a\u6570\uff08\u5c11\u306a\u304f\u3068\u30825\u500b\u4ee5\u4e0a\uff09\u306e\u8aa4\u8a33\u304c\u3042\u308b\u3053\u3068\u304c\u5224\u660e\u3057\u3066\u3044\u307e\u3059\u3002\u60c5\u5831\u306e\u5229\u7528\u306b\u306f\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u6b63\u78ba\u306a\u8868\u73fe\u306b\u6539\u8a33\u3067\u304d\u308b\u65b9\u3092\u6c42\u3081\u3066\u3044\u307e\u3059\u3002 \u3053\u306e\u8a18\u4e8b\u306e\u6b63\u78ba\u6027\u306b\u7591\u554f\u304c\u5448\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u554f\u984c\u7b87\u6240\u306b\u4fe1\u983c\u3067\u304d\u308b\u60c5\u5831\u6e90\u3092\u793a\u3057\u3066\u3001\u8a18\u4e8b\u306e\u6539\u5584\u306b\u3054\u5354\u529b\u304f\u3060\u3055\u3044\u3002\u8b70\u8ad6\u306f\u30ce\u30fc\u30c8\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002\uff082018\u5e744\u6708\uff09 \u6570\u5b66\u306b\u304a\u3044\u3066\u3001\u30e4\u30f3\u30b0\u675f\u306f\u5168\u3066\u306e\u81ea\u7136\u6570\u306e\u5206\u5272\u304b\u3089\u306a\u308b\u675f\u3067\u3042\u308b\u3002\u300cOn quantitative substitutional analysis\u300d\u306a\u3069\u3067\u5bfe\u79f0\u7fa4\u306e\u8868\u73fe\u8ad6\u3092\u767a\u5c55\u3055\u305b\u305f\u3001\u30a2\u30eb\u30d5\u30ec\u30c3\u30c9\u30fb\u30e4\u30f3\u30b0\uff08\u82f1\u8a9e\u7248\uff09\u306b\u3061\u306a\u3093\u3067\u540d\u4ed8\u3051\u3089\u308c\u305f\u3002\u30e4\u30f3\u30b0\u306e\u7406\u8ad6\u306b\u304a\u3044\u3066\u3001\u73fe\u5728\u3067\u306f\u30e4\u30f3\u30b0\u56f3\u5f62\u3068\u547c\u3070\u308c\u308b\u5bfe\u8c61\u3084\u305d\u306e\u534a\u9806\u5e8f\u306f\u3001\u6c7a\u5b9a\u7684\u306a\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u305f\u3002Stanley (1988)\u306b\u3088\u3063\u3066\u3001\u30e4\u30f3\u30b0\u675f\u306f\u5dee\u5206\u534a\u9806\u5e8f\u96c6\u5408\u306e\u6700\u3082\u5358\u7d14\u306a\u4f8b\u3068\u3055\u308c\u308b\u306a\u3069\u3001\u30e4\u30f3\u30b0\u675f\u306f\u4ee3\u6570\u7684\u7d44\u5408\u305b\u8ad6\u306b\u304a\u3044\u3066\u3088\u304f\u73fe\u308c\u308b\u3002\u305d\u3057\u3066\u3001\u30a2\u30d5\u30a3\u30f3\u30ea\u30fc\u4ee3\u6570\u306e\u7d50\u6676\u57fa\u5e95\u3068\u3082\u5bc6\u63a5\u306b\u95a2\u9023\u3057\u3066\u3044\u308b\u3002 \u975e\u8ca0\u6574\u6570\u304b\u3089\u306a\u308b\u975e\u5897\u52a0\u5217 \u03bb = (\u03bb1, \u03bb2, \u2026) \u304c\u975e\u8ca0\u6574\u6570 n \u306e\u5206\u5272 partition \u3067\u3042\u308b\u3068\u306f\u3001\u6210\u5206\u306e\u7dcf\u548c |\u03bb| =","datePublished":"2022-04-26","dateModified":"2022-04-26","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/jp\/wiki29\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/jp\/wiki29\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/11\/book.png","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/11\/book.png","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/b\/b2\/Blue_question_mark.svg\/30px-Blue_question_mark.svg.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/b\/b2\/Blue_question_mark.svg\/30px-Blue_question_mark.svg.png","height":"30","width":"30"},"url":"https:\/\/wiki.edu.vn\/jp\/wiki29\/archives\/290724","about":["Wiki"],"wordCount":2952,"articleBody":"\u539f\u6587\u3068\u6bd4\u3079\u305f\u7d50\u679c\u3001\u3053\u306e\u8a18\u4e8b\u306b\u306f\u591a\u6570\uff08\u5c11\u306a\u304f\u3068\u30825\u500b\u4ee5\u4e0a\uff09\u306e\u8aa4\u8a33\u304c\u3042\u308b\u3053\u3068\u304c\u5224\u660e\u3057\u3066\u3044\u307e\u3059\u3002\u60c5\u5831\u306e\u5229\u7528\u306b\u306f\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u6b63\u78ba\u306a\u8868\u73fe\u306b\u6539\u8a33\u3067\u304d\u308b\u65b9\u3092\u6c42\u3081\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u8a18\u4e8b\u306e\u6b63\u78ba\u6027\u306b\u7591\u554f\u304c\u5448\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u554f\u984c\u7b87\u6240\u306b\u4fe1\u983c\u3067\u304d\u308b\u60c5\u5831\u6e90\u3092\u793a\u3057\u3066\u3001\u8a18\u4e8b\u306e\u6539\u5584\u306b\u3054\u5354\u529b\u304f\u3060\u3055\u3044\u3002\u8b70\u8ad6\u306f\u30ce\u30fc\u30c8\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002\uff082018\u5e744\u6708\uff09  \u6570\u5b66\u306b\u304a\u3044\u3066\u3001\u30e4\u30f3\u30b0\u675f\u306f\u5168\u3066\u306e\u81ea\u7136\u6570\u306e\u5206\u5272\u304b\u3089\u306a\u308b\u675f\u3067\u3042\u308b\u3002\u300cOn quantitative substitutional analysis\u300d\u306a\u3069\u3067\u5bfe\u79f0\u7fa4\u306e\u8868\u73fe\u8ad6\u3092\u767a\u5c55\u3055\u305b\u305f\u3001\u30a2\u30eb\u30d5\u30ec\u30c3\u30c9\u30fb\u30e4\u30f3\u30b0\uff08\u82f1\u8a9e\u7248\uff09\u306b\u3061\u306a\u3093\u3067\u540d\u4ed8\u3051\u3089\u308c\u305f\u3002\u30e4\u30f3\u30b0\u306e\u7406\u8ad6\u306b\u304a\u3044\u3066\u3001\u73fe\u5728\u3067\u306f\u30e4\u30f3\u30b0\u56f3\u5f62\u3068\u547c\u3070\u308c\u308b\u5bfe\u8c61\u3084\u305d\u306e\u534a\u9806\u5e8f\u306f\u3001\u6c7a\u5b9a\u7684\u306a\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u305f\u3002Stanley (1988)\u306b\u3088\u3063\u3066\u3001\u30e4\u30f3\u30b0\u675f\u306f\u5dee\u5206\u534a\u9806\u5e8f\u96c6\u5408\u306e\u6700\u3082\u5358\u7d14\u306a\u4f8b\u3068\u3055\u308c\u308b\u306a\u3069\u3001\u30e4\u30f3\u30b0\u675f\u306f\u4ee3\u6570\u7684\u7d44\u5408\u305b\u8ad6\u306b\u304a\u3044\u3066\u3088\u304f\u73fe\u308c\u308b\u3002\u305d\u3057\u3066\u3001\u30a2\u30d5\u30a3\u30f3\u30ea\u30fc\u4ee3\u6570\u306e\u7d50\u6676\u57fa\u5e95\u3068\u3082\u5bc6\u63a5\u306b\u95a2\u9023\u3057\u3066\u3044\u308b\u3002  \u975e\u8ca0\u6574\u6570\u304b\u3089\u306a\u308b\u975e\u5897\u52a0\u5217 \u03bb = (\u03bb1, \u03bb2, \u2026) \u304c\u975e\u8ca0\u6574\u6570 n \u306e\u5206\u5272 partition \u3067\u3042\u308b\u3068\u306f\u3001\u6210\u5206\u306e\u7dcf\u548c |\u03bb| = \u03bb1 + \u03bb2 + \u2026 \u304c n \u3068\u306a\u308b\u3053\u3068\u3092\u3044\u3046\u3002\u3053\u308c\u3092\u8a18\u53f7 \u03bb \u22a2 n \u306b\u3088\u308a\u8868\u3059\u3002\u5206\u5272  \u03bb = (\u03bb1, \u03bb2, \u2026) \u3068 \u03bc = (\u03bc1, \u03bc2, \u2026) \u306e\u9593\u306b\u534a\u9806\u5e8f\u95a2\u4fc2 \u03bb \u2264 \u03bc \u3092  \u03bbi\u2264\u03bci(i\u22651){displaystyle lambda _{i}leq mu _{i}qquad (igeq 1)}\u306b\u3088\u308a\u5b9a\u3081\u308b\u3002\uff08\u3053\u308c\u306f\u5bfe\u5fdc\u3059\u308b\u30e4\u30f3\u30b0\u56f3\u5f62\u306e\u5305\u542b\u95a2\u4fc2\u306b\u4ed6\u306a\u3089\u306a\u3044\u3002\u53f3\u56f3\u53c2\u7167\u3002\uff09\u3053\u306e\u534a\u9806\u5e8f\u95a2\u4fc2\u306b\u3088\u308a\u5206\u5272\u5168\u4f53Y={\u03bb\u22a2n\u2223n\u22650}{displaystyle Y={,lambda vdash nmid ngeq 0,}}\u306f\u675f\u306b\u306a\u308a\u3001\u3053\u308c\u3092\u30e4\u30f3\u30b0\u675f Young’s lattice \u3068\u3044\u3046\u3002\u4f1d\u7d71\u7684\u306a\u30e4\u30f3\u30b0\u675f\u306e\u5fdc\u7528\u306b\u306f\u5bfe\u79f0\u7fa4\u306e\u6a19\u6570 0 \u306b\u304a\u3051\u308b\u65e2\u7d04\u8868\u73fe\u3068\u5206\u5c90\u5247\u306e\u8a18\u8ff0\u304c\u3042\u308b\u3002\u65e2\u7d04\u8868\u73fe\u306e\u540c\u578b\u985e\u306f\uff08\u81ea\u7136\u6570\u306e\uff09\u5206\u5272\u3042\u308b\u3044\u306f\u30e4\u30f3\u30b0\u56f3\u5f62\u306b\u3088\u3063\u3066\u30d1\u30e9\u30e1\u30fc\u30bf\u3065\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u30e4\u30f3\u30b0\u675f\u306b\u304a\u3044\u3066 q \u304c p \u3092\u30ab\u30d0\u30fc\u3059\u308b\u5834\u5408\u306b\u306e\u307f\u3001\u5206\u5272 p \u306b\u3088\u308b Sn \u306e\u8868\u73fe\u306f\u3001\u5206\u5272 q \u306b\u3088\u308b Sn+1\u00a0\u306b\u542b\u307e\u308c\u308b\u3002\u3053\u308c\u3092\u7e70\u308a\u8fd4\u3059\u3053\u3068\u3067\u3001\u30e4\u30f3\u30b0\u306e\u534a\u6a19\u6e96\u57fa\u5e95\u306b\u306f\u3001p\u306e\u6a19\u6e96\u7684\u306a\u30e4\u30f3\u30b0\u56f3\u5f62\u306b\u3088\u3063\u3066\u9806\u5e8f\u5316\u3055\u308c\u305f\u5206\u5272p\u306b\u5bfe\u5fdc\u3059\u308bSn\u306e\u65e2\u7d04\u8868\u73fe\u3067\u5230\u7740\u3059\u308b[\u8a33\u8a9e\u7591\u554f\u70b9]\u3002  \u534a\u9806\u5e8f\u96c6\u5408Y\u306f\u968e\u5c64\u7684\u3067\u3042\u308b\uff1a\u8981\u7d20\u6570\u304c\u6700\u5c0f\u306a\u3082\u306e\u306f\u7a7a\u96c6\u5408\u00a0\u2205 \u3067\u3042\u308a\u30010\u306e\u552f\u4e00\u306e\u5206\u5272\u3067\u3042\u308b\u3002\u305d\u3057\u3066n\u306e\u5206\u5272\u306f\u30e9\u30f3\u30afn\u3068\u3055\u308c\u308b\u3002\u3064\u307e\u308a\u30012\u7a2e\u985e\u306e\u5206\u5272\u304c\u4e0e\u3048\u3089\u308c\u305f\u5834\u5408\u3001\u305d\u306e\u5206\u5272\u306f\u675f\u306b\u3088\u308a\u6bd4\u8f03\u53ef\u80fd\u3067\u3042\u308b\u3068\u3044\u3046\u610f\u5473\u3067\u3042\u308b\u3002\u307e\u305f\u3001\u5404intermediate[\u8a33\u8a9e\u7591\u554f\u70b9]\u30e9\u30f3\u30af\u306b\u306f\u5c11\u306a\u304f\u3068\u30821\u3064\u306eintermediate\u5206\u5272\u304c\u5b58\u5728\u3059\u308b\u3002\u534a\u9806\u5e8f\u96c6\u5408Y\u306f\u5206\u914d\u675f\u3067\u3042\u308b\u30022\u3064\u306e\u5206\u5272\u306e\u7d50\u3073\u3068\u4ea4\u308f\u308a\u306f\u5bfe\u5fdc\u3059\u308b\u30e4\u30f3\u30b0\u56f3\u306e\u7a4d\u96c6\u5408\u3068\u548c\u96c6\u5408\u306b\u3088\u3063\u3066\u4e0e\u3048\u3089\u308c\u308b\u3002\u3082\u3057\u5206\u5272p\u304c\u30e4\u30f3\u30b0\u675f\u306ek\u500b\u306e\u8981\u7d20\u3092\u30ab\u30d0\u30fc\u3059\u308b\u306a\u3089\u3070 k + 1 \u8981\u7d20\u306b\u30ab\u30d0\u30fc\u3055\u308c\u308b\u3002p \u306b\u3088\u3063\u3066\u30ab\u30d0\u30fc\u3055\u308c\u308b\u3059\u3079\u3066\u306e\u5206\u5272\u306f\u3001\u30e4\u30f3\u30b0\u56f3\u306e1\u3064\u306e\u300c\u89d2\uff08corner\uff09\u300d\uff08\u884c\u3068\u5217\u306e\u4e21\u65b9\u306e\u7d42\u7aef\u306b\u306a\u3063\u3066\u3044\u308b\u8981\u7d20\uff09\u3092\u9664\u53bb\u3059\u308b\u3053\u3068\u3067\u5f97\u3089\u308c\u308b\u3002p \u3092\u30ab\u30d0\u30fc\u3059\u308b\u5168\u3066\u306e\u5206\u5272\u306f\u3001\u30e4\u30f3\u30b0\u56f3\u306e\u300c\u51f9\u307f\uff08dual corner\uff09\u300d\uff08\u300c\u89d2\u300d\u306e\u4f4d\u7f6e\u306b\u3042\u308b\u7a7a\u30de\u30b9\uff09\u306b1\u30de\u30b9\u8ffd\u52a0\u3059\u308b\u3053\u3068\u3067\u5f97\u3089\u308c\u308b\u3002\u7570\u306a\u308b\u5206\u5272p\u3068q\u304c\u3068\u3082\u306bY\u306ek\u8981\u7d20\u3092\u30ab\u30d0\u30fc\u3059\u308b\u5834\u5408\u3001\u8981\u7d20\u6570k\u306f 0 \u304b 1 \u3067\u3042\u308a\u3001p\u3068q\u306f\u3068\u3082\u306bk\u8981\u7d20\u306b\u3088\u3063\u3066\u30ab\u30d0\u30fc\u3055\u308c\u308b\u3002\u308f\u304b\u308a\u3084\u3059\u304f\u3044\u3048\u3070\u30012\u3064\u306e\u7570\u306a\u308b\u5206\u5272\u306f\u4e21\u65b9\u3067\u30ab\u30d0\u30fc\u3055\u308c\u305f1\u3064\u306e\u5206\u5272\uff08\u305d\u308c\u305e\u308c\u306e\u30e4\u30f3\u30b0\u56f3\u306f\u3001\u305d\u308c\u305e\u308c\u3001\u4ed6\u65b9\u306b\u5c5e\u3055\u306a\u3044\u30de\u30b9\u3092\u6709\u3059\u308b\uff09\u3092\u6301\u3064\u3053\u3068\u304c\u3067\u304d\u3001\u305d\u306e\u5834\u5408\u3001\u4e21\u65b9\u3092\u30ab\u30d0\u30fc\u3059\u308b\u307e\u305f\u5225\u306e\u5206\u5272\uff082\u3064\u306e\u30e4\u30f3\u30b0\u56f3\u5f62\u306e\u548c\u96c6\u5408\uff09\u304c\u5b58\u5728\u3059\u308b\u3002\u2205 \u3068 p\u9593\u306e\u98fd\u548c\u9396\u306f\u3001p\u306e\u30e4\u30f3\u30b0\u56f3\u5f62\u306e\u6a19\u6e96\u5f62\u3068\u81ea\u7136\u306a\u53cc\u5c04\u3092\u306a\u3059\u3002\uff1a\u9396\u5185\u90e8\u306e\u56f3\u306f\u3001\u30ca\u30f3\u30d0\u30ea\u30f3\u30b0\u9806\u306b\u6a19\u6e96\u76e4\u306e\u30de\u30b9\u3092\u8ffd\u52a0\u3059\u308b\u3002\u3088\u308a\u4e00\u822c\u7684\u306b\u306f\u3001q\u3068p\u9593\u306e\u98fd\u548c\u9396\u306fp\/q\u306eskew\u56f3[\u8a33\u8a9e\u7591\u554f\u70b9]\u3068\u81ea\u7136\u306a\u53cc\u5c04\u3092\u306a\u3059\u3002\u30e4\u30f3\u30b0\u675f\u306e\u30e1\u30d3\u30a6\u30b9\u95a2\u6570\u306f\u4ee5\u4e0b\u306e\u6570\u5f0f\u306b\u5f93\u3044\u00a00,\u00a0\u00b11 \u306e\u5024\u3092\u53d6\u308b\u03bc(q,p)={(\u22121)|p|\u2212|q|if the skew diagram\u00a0p\/q\u00a0is a disconnected union of squares(no common edges);0otherwise.{displaystyle mu (q,p)={begin{cases}(-1)^{|p|-|q|}&{text{if the skew diagram }}p\/q{text{ is a disconnected union of squares}}\\&{text{(no common edges);}}\\[10pt]0&{text{otherwise}}.end{cases}}}\u5f93\u6765\u3001\u30e4\u30f3\u30b0\u675f\u306f\u540c\u3058\u30e9\u30f3\u30af\u8981\u7d20\u306f\u540c\u3058\u9ad8\u3055\u306b\u63c3\u3048\u3066\u30cf\u30c3\u30bb\u56f3\u3067\u8868\u3055\u308c\u3066\u3044\u305f\u3002Suter (2002) \u306f\u3001\u30e4\u30f3\u30b0\u675f\u306e\u90e8\u5206\u96c6\u5408\u3092\u63cf\u5199\u3059\u308b\u7570\u306a\u308b\u65b9\u6cd5\u304c\u3001\u4e88\u60f3\u5916\u306e\u5bfe\u79f0\u6027\u3092\u793a\u3059\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u308b\u3002n\u756a\u76ee\u306e\u4e09\u89d2\u6570\u306e\u5206\u5272n+\u22ef+3+2+1{displaystyle n+cdots +3+2+1}\u306f\u968e\u6bb5\u72b6\u306e\u30d5\u30a7\u30e9\u30fc\u56f3\u306b\u5bfe\u5fdc\u3059\u308b\u3002\u30d5\u30a7\u30e9\u30fc\u56f3\u304c\u9577\u65b9\u5f62\u3068\u306a\u308b\u6700\u5927\u306e\u8981\u7d20\u306f\u4ee5\u4e0b\u306e\u5206\u5272\u3067\u3042\u308b1+\u22ef\u22ef\u22ef+1\u23dfn\u00a0terms2+\u22ef\u22ef+2\u23dfn\u22121\u00a0terms3+\u22ef+3\u23dfn\u22122\u00a0terms\u22een\u23df1\u00a0term{displaystyle {begin{array}{c}underbrace {1+cdots cdots cdots +1} _{n{text{ terms}}}\\underbrace {2+cdots cdots +2} _{n-1{text{ terms}}}\\underbrace {3+cdots +3} _{n-2{text{ terms}}}\\vdots \\underbrace {{}quad nquad {}} _{1{text{ term}}}end{array}}}\u3053\u306e\u5f62\u5f0f\u306e\u5206\u5272\u306f\u30e4\u30f3\u30b0\u675f\u3067\u898b\u308c\u3070\u4e0b\u306b\u305f\u30601\u3064\u3057\u304b\u8981\u7d20\u3092\u6301\u305f\u306a\u3044\u552f\u4e00\u306e\u5f62\u5f0f\u3067\u3042\u308b\u3002Suter\u306f\u3053\u308c\u3089\u306e\u7279\u5b9a\u306e\u5206\u5272\u4ee5\u4e0b\u306e\u3059\u3079\u3066\u306e\u8981\u7d20\u306e\u96c6\u5408\u306f\u3001\u30e4\u30f3\u30b0\u675f\u306e\u5bfe\u79f0\u6027\u3060\u3051\u3067\u306a\u304f\u3001\u56de\u8ee2\u5bfe\u79f0\u6027\u3082\u6709\u3059\u308b\u3053\u3068\u3092\u793a\u3057\u305f\u3002 n+1\u6b21\u306e\u56de\u8ee2\u7fa4\u306f\u3053\u306e\u534a\u9806\u5e8f\u96c6\u5408\u306b\u4f5c\u7528\u3059\u308b\u3002\u3053\u306e\u96c6\u5408\u306f\u5de6\u53f3\u5bfe\u79f0\u3067\u3042\u308a\u3001\u56de\u8ee2\u5bfe\u79f0\u3067\u3082\u3042\u308b\u305f\u3081\u3001dihedral \u5bfe\u79f0\u3067\u3082\u3042\u308b\uff08n\u00a0+\u00a01 \u4e8c\u9762\u4f53\u7fa4\u306f\u7fa4\u4f5c\u7528\u3092\u3053\u306e\u96c6\u5408\u306b\u5bfe\u3057\u3066\u884c\u3046\u3002\u96c6\u5408\u306e\u30b5\u30a4\u30ba\u306f\u00a02n\uff09\u3002\u4f8b\u3048\u3070\u3001\u00a0n\u00a0=\u00a04 \u306e\u5834\u5408\u3001\u9577\u65b9\u5f62\u306e\u30d5\u30a7\u30e9\u30fc\u56f3\u3092\u6301\u3064\u968e\u6bb5\u72b6\u306e\u6700\u5927\u8981\u7d20\u306f1 + 1 + 1 + 12 + 2 + 23 + 34\u3067\u3042\u308b\u3002\u3053\u308c\u3089\u306e\u5206\u5272\u306e\u4e0b\u306b\u3042\u308b\u30e4\u30f3\u30b0\u675f\u306e\u90e8\u5206\u96c6\u5408\u306f\u5de6\u53f3\u5bfe\u79f0\u6027\u306e\u4ed6\u306b5\u500d\u56de\u8ee2\u5bfe\u79f0\u6027\u3092\u6301\u3064\u3002\u3064\u307e\u308a\u3001\u4e8c\u9762\u4f53\u7fa4\u00a0D5\u00a0\u306f\u30e4\u30f3\u30b0\u675f\u306e\u3053\u306e\u90e8\u5206\u96c6\u5408\u306b\u4f5c\u7528\u3059\u308b\u3002\u53c2\u8003\u6587\u732e[\u7de8\u96c6]Misra, Kailash C.; Miwa, Tetsuji (1990). \u201cCrystal base for the basic representation of Uq(sl^(n)){displaystyle U_{q}({widehat {mathfrak {sl}}}(n))}\u201d. Communications in Mathematical Physics 134 (1):  79\u201388. Bibcode:\u00a01990CMaPh.134…79M. doi:10.1007\/BF02102090.\u00a0Sagan, Bruce (2001). The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions (Second ed.). Springer. ISBN\u00a0978-1-4419-2869-6. https:\/\/books.google.com\/books?id=Y6vTBwAAQBAJ\u00a0Stanley, Richard P. (1988). \u201cDifferential posets\u201d. Journal of the American Mathematical Society 1 (4):  919\u2013961. doi:10.2307\/1990995.\u00a0Stanley, Richard P. (2013). Algebraic Combinatorics: Walks, Trees, Tableaux, and More. Springer. ISBN\u00a0978-1-4614-6997-1. https:\/\/books.google.com\/books?id=_Tc_AAAAQBAJ\u00a0Suter, Ruedi (2002). \u201cYoung’s lattice and dihedral symmetries\u201d. European Journal of Combinatorics 23 (2):  233\u2013238. doi:10.1006\/eujc.2001.0541.\u00a0\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki29\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki29\/archives\/290724#breadcrumbitem","name":"\u30e4\u30f3\u30b0\u675f – Wikipedia"}}]}]