Realizations of involutive automorphisms \(\sigma\) and \(G^{\sigma}\) of exceptional linear Lie groups G. I: \(G=G_ 2\), \(F_ 4\) and \(E_ 6\) (Q809190)
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scientific article; zbMATH DE number 4210430
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Realizations of involutive automorphisms \(\sigma\) and \(G^{\sigma}\) of exceptional linear Lie groups G. I: \(G=G_ 2\), \(F_ 4\) and \(E_ 6\) |
scientific article; zbMATH DE number 4210430 |
Statements
Realizations of involutive automorphisms \(\sigma\) and \(G^{\sigma}\) of exceptional linear Lie groups G. I: \(G=G_ 2\), \(F_ 4\) and \(E_ 6\) (English)
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1990
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Let \(\sigma\) be an automorphism of a Lie group G and \(G^{\sigma}\) the fixed points of \(\sigma\). The aim of this paper is to determine the group structure of \(G^{\sigma}\) for the Lie groups of type \(G_ 2\), \(F_ 4\) and \(E_ 6\).
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algebra of split complex numbers
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Cayley algebra
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Jordan algebra
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automorphism
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fixed points
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Lie groups
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0.9212478
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0.92072254
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0.8957348
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0.86537004
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0.86334705
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