Sugawara Construction for the Birepresentation of the Moufang Loop

E. P. Osipov; G. V. Tolkachev

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Sugawara Construction for the Birepresentation of the Moufang Loop

机译：Sugawara构造Moufang Loop的双向表示

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摘要

We show explicitly the connection between the infinitesimal form of the birepresentation of the Moufang loop and the octonionic representation of SO(8). Possible types of Sugawara construction for the birepresentations are considered.

机译：我们清楚地显示了Moufang环的双向表示的无穷小形式与SO（8）的反调表示之间的联系。考虑了两种表示形式的Sugawara构造的可能类型。

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《Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications》 |1998年第2期|共10页
作者
E. P. Osipov; G. V. Tolkachev;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Moufang loop; mal'tsev algebra; birepresentation; octonions; groups G_2; SO(8) and E_8; Sugawara construction;

机译：Moufang回路;Mal'tsev代数;双向表示;张调;G_2;SO（8）和E_8组;Sugawara构造;
入库时间 2022-08-18 09:59:03

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机译：Sugawara构造Moufang Loop的双向表示
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Sugawara Construction for the Birepresentation of the Moufang Loop

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