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has gloss | eng: In mathematics, E7 is the name of several Lie groups and also their Lie algebras \mathfrake}_7. It is one of the five exceptional compact simple Lie groups as well as one of the simply laced groups. E7 has rank 7 and dimension 133. The fundamental group of the compact form is the cyclic group Z2, and its outer automorphism group is the trivial group. The dimension of its fundamental representation is 56. |
lexicalization | eng: E7 |
lexicalization | eng: E<sub>7</sub> (mathematics) |
lexicalization | eng: E₇ |
instance of | e/Lie group |
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French | |
has gloss | fra: En mathématiques, E7 est le nom d'un groupe de Lie complexe de type exceptionnel. Son algèbre de Lie est notée \textstyle\mathfrake}_7}. E7 est de rang 7 et de dimension 133. Le groupe fondamental de sa forme compacte est le groupe cyclique Z2. sa représentation fondamentale est de dimension 56. |
lexicalization | fra: E7 |
Media | |
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media:img | Dynkin diagram E7.png |
media:img | E7 graph.svg |
media:img | E7Coxeter.svg |
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