6 citations · 31 across the 25 of their papers we have counts for
7 papers · 1 filter
Jordan gradings on exceptional simple Lie algebras
Alberto Elduque
Models of all the gradings on the exceptional simple Lie algebras induced by Jordan subgroups of their groups of automorphisms are provided.
Irreducible Lie-Yamaguti algebras
Pilar Benito, Alberto Elduque, Fabián Martín-Herce
Lie-Yamaguti algebras (or generalized Lie triple systems) are binary-ternary algebras intimately related to reductive homogeneous spaces. The Lie-Yamaguti algebras which are irredu…
More non semigroup Lie gradings
Alberto Elduque
This note is devoted to the construction of two very easy examples, of respective dimensions 4 and 6, of graded Lie algebras whose grading is not given by a semigroup, the latter o…
Gradings on symmetric composition algebras
Alberto Elduque
The group gradings on the symmetric composition algebras over arbitrary fields are classified. Applications of this result to gradings on the exceptional simple Lie algebras are co…
Models of some simple modular Lie superalgebras
Alberto Elduque
Models of the exceptional simple modular Lie superalgebras in characteristic , that have appeared in the classification due to Bouarroudj, Grozman and Leites of the Lie su…
The Supermagic Square in characteristic 3 and Jordan superalgebras
Isabel Cunha, Alberto Elduque
Recently, the classical Freudenthal Magic Square has been extended over fields of characteristic 3 with two more rows and columns filled with (mostly simple) Lie superalgebras spec…