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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 Length of a Weyl group element ： ウィキペディア英語版 Length of a Weyl group element In mathematics, the length of an element ''w'' in a Weyl group ''W'', denoted by ''l''(''w''), is the smallest number ''k'' so that ''w'' is a product of ''k'' reflections by simple roots. (So, the notion depends on the choice of a positive Weyl chamber.) In particular, a simple reflection has length one. The function ''l'' is then an integer-valued function of ''W''; it is a length function of ''W''. It follows immediately from the definition that ''l''(''w''−1) = ''l''(''w'') and that ''l''(''w''''w'''−1) ≤ ''l''(''w'') + ''l''(''w' ''). == References == * 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「Length of a Weyl group element」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.