Octonionic planes and real forms of \(G_2\), \(F_4\) and \(E_6\) (Q6158490)
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scientific article; zbMATH DE number 7690559
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Octonionic planes and real forms of \(G_2\), \(F_4\) and \(E_6\) |
scientific article; zbMATH DE number 7690559 |
Statements
Octonionic planes and real forms of \(G_2\), \(F_4\) and \(E_6\) (English)
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31 May 2023
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The authors report on relations between octonionic planes and real forms of exceptional simple Lie groups. The use of Veronese vectors, Figure 2 and the proof of the proposition on page 49 are borrowed from \textit{H. Salzmann} et al. [Compact projective planes. With an introduction to octonion geometry. Berlin: de Gruyter (1996; Zbl 0851.51003)], Sections 12 and 16. For the entire collection see [Zbl 1509.53006].
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exceptional Lie groups
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Jordan algebra
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octonionic projective plane
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real forms
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Veronese embedding
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