6 citations · 31 across the 25 of their papers we have counts for
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S4-symmetry on the Tits construction of exceptional Lie algebras and superalgebras
Alberto Elduque, Susumu Okubo
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 o…
The extended Freudenthal Magic Square and Jordan algebras
Isabel Cunha, Alberto Elduque
The Lie superalgebras in the extended Freudenthal Magic Square in characteristic 3 are shown to be related to some known simple Lie superalgebras, specific to this characteristic,…
Maximal subalgebras of Jordan superalgebras
Alberto Elduque, Jesus Laliena, Sara Sacristan
The maximal subalgebras of the finite dimensional simple special Jordan superalgebras over an algebraically closed field of characteristic 0 are studied. This is a continuation of…
An extended Freudenthal Magic Square in characteristic 3
Isabel Cunha, Alberto Elduque
Freudenthal's Magic Square, which in characteristic 0 contains the exceptional Lie algebras other than G2, is extended over fields of characteristic 3, through the use of symmetric…
The -action on the Tetrahedron algebra
Alberto Elduque
The action of the symmetric group of degree 4 on the Tetrahedron algebra, introduced by Hartwig and Terwilliger, is studied. This action gives a grading of the algebra which is rel…