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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 Restricted Lie algebra ： ウィキペディア英語版 Restricted Lie algebra In mathematics, a restricted Lie algebra is a Lie algebra together with an additional "''p'' operation." ==Definition== Let ''L'' be a Lie algebra over a field ''k'' of characteristic ''p>0''. A ''p'' operation on ''L'' is a map $X\; \backslash mapsto\; X^$ satisfying * $\backslash mathrm(X^)\; =\; \backslash mathrm(X)^p$ for all $X\; \backslash in\; L$, * $(tX)^\; =\; t^pX^$ for all $t\; \backslash in\; k,\; X\; \backslash in\; L$, * $(X+Y)^\; =\; X^\; +\; Y^\; +\; \backslash sum\_^\; \backslash frac$, for all $X,Y\; \backslash in\; L$, where $s\_i(X,Y)$ is the coefficient of $t^$ in the formal expression $\backslash mathrm(tX+Y)^(X)$. If the characteristic of ''k'' is 0, then ''L'' is a restricted Lie algebra where the ''p'' operation is the identity map. 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「Restricted Lie algebra」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.