S_4-symmetry on the Tits construction of exceptional Lie algebras and superalgebras
Elduque, Alberto (Universidad de Zaragoza. Departamento de Matemáticas)
Okubo, Susumu (University of Rochester. Department of Physics and Astronomy)

Data:	2008
Resum:	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.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Lie algebra ; Tits construction ; Structurable algebra ; Exceptional ; Superalgebra
Publicat a:	Publicacions matemàtiques, V. 52 n. 2 (2008) p. 315-346, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/113436
DOI: 10.5565/PUBLMAT_52208_04

32 p, 265.0 KB

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