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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 Young's lattice ： ウィキペディア英語版 Young's lattice In mathematics, Young's lattice is a partially ordered set and a lattice that is formed by all integer partitions. It is named after Alfred Young, who in a series of papers ''On quantitative substitutional analysis'' developed representation theory of the symmetric group. In Young's theory, the objects now called Young diagrams and the partial order on them played a key, even decisive, role. Young's lattice prominently figures in algebraic combinatorics, forming the simplest example of a differential poset in the sense of . It is also closely connected with the crystal bases for affine Lie algebras. == Definition == Young's lattice is a partially ordered set ''Y'' formed by all integer partitions ordered by inclusion of their Young diagrams (or Ferrers diagrams). 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「Young's lattice」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.