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Freudenthal algebra : ウィキペディア英語版 | Freudenthal algebra In algebra, Freudenthal algebras are certain Jordan algebras constructed from composition algebras. ==Definition==
Suppose that ''C'' is a composition algebra over a field ''F'' and ''a'' is a diagonal matrix in GL''n''(''F''). A reduced Freudenthal algebra is defined to be a Jordan algebra equal to the set of 3 by 3 matrices ''X'' over ''C'' such that T''a''=''aX''. A Freudenthal algebra is any twisted form of a reduced Freudental algebra.
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「Freudenthal algebra」の詳細全文を読む
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