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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 Pure spinor ： ウィキペディア英語版 Pure spinor In a field of mathematics known as representation theory pure spinors (or simple spinors) are spinors that are annihilated under the Clifford action by a maximal isotropic subspace of the space of vectors. They were introduced by Élie Cartan in the 1930s to classify complex structures. Pure spinors were introduced into the realm of theoretical physics, and elevated in their importance in the study of spin geometry more generally, by Roger Penrose in the 1960s, where they became among the basic objects of study in twistor theory. ==Definition== Consider a complex vector space C2''n'' with even complex dimension 2''n'' and a quadratic form ''Q'', which maps a vector ''v'' to complex number ''Q''(''v''). The Clifford algebra ''C''ℓ2n(C) is the ring generated by products of vectors in C2''n'' subject to the relation :$v^2=Q(v).\; \backslash ,$ Spinors are modules of the Clifford algebra, and so in particular there is an action of C2''n'' on the space of spinors. The subset of C2''n'' that annihilates a given spinor ψ is a complex subspace C''m''. If ψ is nonzero then ''m'' is less than or equal to ''n''. If ''m'' is equal to ''n'' then ψ is said to be a ''pure spinor''. 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「Pure spinor」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.