翻訳と辞書 Words near each other ・ Coherent anti-Stokes Raman spectroscopy ・ Coherent backscattering ・ Coherent control ・ Coherent diffraction imaging ・ Coherent duality ・ Coherent effects in semiconductor optics ・ Coherent electromagnetic radio tomography ・ Coherent file distribution protocol ・ Coherent information ・ Coherent perfect absorber ・ Coherent potential approximation ・ Coherent processing interval ・ Coherent ring ・ Coherent risk measure ・ Coherent sampling ・ Coherent set of characters ・ Coherent sheaf ・ Coherent Solutions ・ Coherent space ・ Coherent spectroscopy ・ Coherent states ・ Coherent states in mathematical physics ・ Coherent topology ・ Coherent turbulent structure ・ Coherent, Inc. ・ Coherentism ・ Coherer ・ Cohesin ・ Cohesin domain ・ Cohesion 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 Coherent set of characters ： ウィキペディア英語版 Coherent set of characters In mathematical representation theory, coherence is a property of sets of characters that allows one to extend an isometry from the degree-zero subspace of a space of characters to the whole space. The general notion of coherence was developed by , as a generalization of the proof by Frobenius of the existence of a Frobenius kernel of a Frobenius group and of the work of Brauer and Suzuki on exceptional characters. developed coherence further in the proof of the Feit–Thompson theorem that all groups of odd order are solvable. ==Definition== Suppose that ''H'' is a subgroup of a finite group ''G'', and ''S'' a set of irreducible characters of ''H''. Write ''I''(''S'') for the set of integral linear combinations of ''S'', and ''I''0(''S'') for the subset of degree 0 elements of ''I''(''S''). Suppose that τ is an isometry from ''I''0(''S'') to the degree 0 virtual characters of ''G''. Then τ is called coherent if it can be extended to an isometry from ''I''(''S'') to characters of ''G'' and ''I''0(''S'') is non-zero. Although strictly speaking coherence is really a property of the isometry τ, it is common to say that the set ''S'' is coherent instead of saying that τ is coherent. 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「Coherent set of characters」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.