3 citations · 8 across the 6 of their papers we have counts for
7 papers
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…
The Magic Square and Symmetric Compositions II
Alberto Elduque
The construction of Freudenthal's Magic Square, which contains the exceptional simple Lie algebras, in terms of symmetric composition algebras is further developed here. The para-H…
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…
A(n,n)-graded Lie superalgebras
G. Benkart, A. Elduque, C. Martinez
We determine the Lie superalgebras over fields of characteristic zero that are graded by the root system A(n,n) of the special linear Lie superalgebra psl(n+1,n+1).