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Página principal > Artículos > Artículos publicados > S_4-symmetry on the Tits construction of exceptional Lie algebras and superalgebras |
Fecha: | 2008 |
Resumen: | The classical Tits construction provides models of the exceptional simple Lie algebras in terms of a unital composition algebra and a degree three simple Jordan algebra. A couple of actions of the symmetric group S4 on this construction are given. By means of these actions, the models provided by the Tits construction are related to models of the exceptional Lie algebras obtained from two different types of structurable algebras. Some models of exceptional Lie superalgebras are discussed too. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió publicada |
Materia: | Lie algebra ; Tits construction ; Structurable algebra ; Exceptional ; Superalgebra |
Publicado en: | Publicacions matemàtiques, V. 52 n. 2 (2008) p. 315-346, ISSN 2014-4350 |
32 p, 265.0 KB |