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Octonions and a Null Cone in Ten-dimensional Minkowski Space-time
https://ous.repo.nii.ac.jp/records/827
https://ous.repo.nii.ac.jp/records/8270970fe2f-cf11-4722-b9ed-c8b3c16c905b
名前 / ファイル | ライセンス | アクション |
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KJ00000063380.pdf (377.0 kB)
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Item type | 紀要論文(ELS) / Departmental Bulletin Paper(1) | |||||||||||
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公開日 | 1989-03-20 | |||||||||||
タイトル | ||||||||||||
言語 | ja | |||||||||||
タイトル | Octonions and a Null Cone in Ten-dimensional Minkowski Space-time | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | Octonions and a Null Cone in Ten-dimensional Minkowski Space-time | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
資源タイプ | ||||||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||
資源タイプ | departmental bulletin paper | |||||||||||
ページ属性 | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | P(論文) | |||||||||||
著者名 |
橘, 浩久
× 橘, 浩久
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著者所属(日) | ||||||||||||
ja | ||||||||||||
岡山理科大学大学院理学研究科 | ||||||||||||
著者所属(英) | ||||||||||||
en | ||||||||||||
Graduate School of Science, Okayama University of Science | ||||||||||||
抄録(英) | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | A geometrical association between octonions and a null cone in the ten-dimensional Minkowski space-time is discussed. A point on the intersection of the null cone with a spatial hyperplane can be mapped to a point on the octonionic Gauss plane by a stereographic projection. Then, we may see that a null direction in the ten-dimensional Minkowski space-time corresponds to an octonion. Identifying such an octonion as an (SO(8)-) vectorial octonion, left- and right-acted spinorial octonions are defined. A connection between these three octonions is aregued. | |||||||||||
言語 | en | |||||||||||
雑誌書誌ID | ||||||||||||
収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AN00033244 | |||||||||||
書誌情報 |
ja : 岡山理科大学紀要. A, 自然科学 en : Bulletin of Okayama University of Science. A, Natural Sciences 巻 24, p. 181-189, 発行日 1989-03-20 |