3-graded decompositions of exceptional Lie algebras \(\mathfrak g\) and group realizations of \({\mathfrak g}_{ev}\), \({\mathfrak g}_0\) and \({\mathfrak g}_{ed}\). II: \(G=E_7\), case 1 (Q866481)
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scientific article; zbMATH DE number 5128995
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 3-graded decompositions of exceptional Lie algebras \(\mathfrak g\) and group realizations of \({\mathfrak g}_{ev}\), \({\mathfrak g}_0\) and \({\mathfrak g}_{ed}\). II: \(G=E_7\), case 1 |
scientific article; zbMATH DE number 5128995 |
Statements
3-graded decompositions of exceptional Lie algebras \(\mathfrak g\) and group realizations of \({\mathfrak g}_{ev}\), \({\mathfrak g}_0\) and \({\mathfrak g}_{ed}\). II: \(G=E_7\), case 1 (English)
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20 February 2007
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In Part I, \textit{I. Yokota} [ J. Math. Kyoto Univ. 41, No. 3, 449--474 (2001; Zbl 1042.17004 )] dealt with the exceptional groups of type \(G_2\), \(F_4\) and \(E_6\). Here the authors deal with the exceptional groups of type \(E_7\) and one of the five possible \(7\)-gradings.
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