Explicit Cayley triples in real forms of \(G_2\), \(F_4\), and \(E_6\) (Q1306196)
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scientific article; zbMATH DE number 1344238
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit Cayley triples in real forms of \(G_2\), \(F_4\), and \(E_6\) |
scientific article; zbMATH DE number 1344238 |
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Explicit Cayley triples in real forms of \(G_2\), \(F_4\), and \(E_6\) (English)
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7 February 2000
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Earlier the author classified nilpotent adjoint orbits of real simple noncompact groups [J. Algebra 112, 503--524 (1988; Zbl 0639.17005); J. Algebra 116, 196--207 (1988; Zbl 0653.17004)]. Here he classifies \(G_2, F_4,E_6\) by giving explicit representatives for each orbit as linear combinations of vectors from a suitably normalized Chevalley basis of the complexified Lie algebra. Each representative is embedded in a Cayley triple; square roots in these coefficients are to be used.
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