3 citations · 8 across the 6 of their papers we have counts for
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The Kac Jordan superalgebra: automorphisms and maximal subalgebras
Alberto Elduque, Jesus Laliena, Sara Sacristan
The group of automorphisms of the Kac Jordan superalgebra is described, and used to classify the maximal subalgebras.
Lie algebras with S4-action and structurable algebras
Alberto Elduque, Susumu Okubo
The normal symmetric triality algebras (STA's) and the normal Lie related triple algebras (LRTA's) have been recently introduced by the second author, in connection with the princi…
New simple Lie superalgebras in characteristic 3
Alberto Elduque
Symplectic (respectively orthogonal) triple systems provide constructions of Lie algebras (resp. superalgebras). However, in characteristic 3, it is shown that this role can be int…
(-1,-1)-Balanced Freudenthal Kantor triple systems and noncommutative Jordan algebras
Alberto Elduque, Noriaki Kamiya, Susumu Okubo
A noncommutative Jordan algebra of a specific type is attached to any (-1,-1)-balanced Freudenthal Kantor triple system, in such a way that the triple product in this system is det…
Lie Superalgebras Graded by the Root System
Georgia Benkart, Alberto Elduque
We determine the Lie superalgebras that are graded by the root systems of the basic classical simple Lie superalgebras of type A.