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arXiv math-ph/9905024math-phhep-thmath.MPmath.RA
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八元Mobius变换

Octonionic Mobius Transformations

Corinne A. Manogue, Tevian Dray

摘要:

一个令人烦恼的问题,涉及非结合性解决,允许一般的复杂的莫比乌斯变换的八元数。这是通过将八元莫比乌斯变换与10维时空中的洛伦兹群相关联来实现的。研究10维中类光物体的物理学家们将对这一结果特别感兴趣。

英文摘要:

A vexing problem involving nonassociativity is resolved, allowing a generalization of the usual complex Mobius transformations to the octonions. This is accomplished by relating the octonionic Mobius transformations to the Lorentz group in 10 spacetime dimensions. The result will be of particular interest to physicists working with lightlike objects in 10 dimensions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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