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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 Tate twist ： ウィキペディア英語版 Tate twist In number theory and algebraic geometry, the Tate twist,〔'The Tate Twist', in Lecture Notes in Mathematics', Vol 1604, 1995, Springer, Berlin p.98-102〕 named after John Tate, is an operation on Galois modules. For example, if ''K'' is a field, ''GK'' is its absolute Galois group, and ρ : ''GK'' → AutQ''p''(''V'') is a representation of ''GK'' on a finite-dimensional vector space ''V'' over the field Q''p'' of ''p''-adic numbers, then the Tate twist of ''V'', denoted ''V''(1), is the representation on the tensor product ''V''⊗Q''p''(1), where Q''p''(1) is the ''p''-adic cyclotomic character (i.e. the Tate module of the group of roots of unity in the separable closure ''Ks'' of ''K''). More generally, if ''m'' is a positive integer, the ''m''th Tate twist of ''V'', denoted ''V''(''m''), is the tensor product of ''V'' with the ''m''-fold tensor product of Q''p''(1). Denoting by Q''p''(−1) the dual representation of Q''p''(1), the ''-m''th Tate twist of ''V'' can be defined as :$V\backslash otimes\backslash mathbf\_p(-1)^.$ ==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「Tate twist」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.