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2008 $S_4$-symmetry on the Tits construction of exceptional Lie algebras and superalgebras
Alberto Elduque, Susumu Okubo
Publ. Mat. 52(2): 315-346 (2008).

Abstract

The classical Tits construction provides models of the exceptionalsimple Lie algebras in terms of a unital composition algebra and a degree three simple Jordan algebra. A couple of actions of the symmetric group $S_4$ 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.

Citation

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Alberto Elduque. Susumu Okubo. "$S_4$-symmetry on the Tits construction of exceptional Lie algebras and superalgebras." Publ. Mat. 52 (2) 315 - 346, 2008.

Information

Published: 2008
First available in Project Euclid: 5 August 2008

zbMATH: 1209.17010
MathSciNet: MR2436728

Subjects:
Primary: 17B25

Rights: Copyright © 2008 Universitat Autònoma de Barcelona, Departament de Matemàtiques

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Vol.52 • No. 2 • 2008
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