翻訳と辞書 Words near each other ・ Crossed (film) ・ Crossed (novel) ・ Crossed (The Walking Dead) ・ Crossed Clues ・ Crossed dystopia ・ Crossed extensor reflex ・ Crossed field antenna ・ Crossed fingers ・ Crossed Keys Tavern ・ Crossed ladders problem ・ Crossed letter ・ Crossed Lines ・ Crossed Lines (album) ・ Crossed Lines (film) ・ Crossed Loves ・ Crossed module ・ Crossed molecular beam ・ Crossed O ・ Crossed Out ・ Crossed pentagonal cuploid ・ Crossed pentagrammic cupola ・ Crossed product ・ Crossed square cupola ・ Crossed swords ・ Crossed Swords (1954 film) ・ Crossed Swords (video game) ・ Crossed-field amplifier ・ Crossen ・ Crossen an der Elster ・ Crossen Palace Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Crossed module ： ウィキペディア英語版 Crossed module In mathematics, and especially in homotopy theory, a crossed module consists of groups ''G'' and ''H'', where ''G'' acts on ''H'' by automorphisms (which we will write on the left, $(g,h)\; \backslash mapsto\; g\; \backslash cdot\; h$ ), and a homomorphism of groups : $d\backslash colon\; H\; \backslash longrightarrow\; G,\; \backslash !$ that is equivariant with respect to the conjugation action of ''G'' on itself: : $d(g\; \backslash cdot\; h)\; =\; gd(h)g^\; \backslash !$ and also satisfies the so-called Peiffer identity: : $d(h\_)\; \backslash cdot\; h\_\; =\; h\_h\_h\_^\; \backslash !$ == Origin == The first mention of the second identity for a crossed module seems to be in footnote 25 on p. 422 of Whitehead's 1941 paper cited below, while the term 'crossed module' is introduced in his 1946 paper cited below. These ideas were well worked up in his 1949 paper 'Combinatorial homotopy II', which also introduced the important idea of a free crossed module. Whitehead's ideas on crossed modules and their applications are developed and explained in the book by Brown, Higgins, Sivera listed below. Some generalisations of the idea of crossed module are explained in the paper of Janelidze. 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「Crossed module」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.