3 citations
4 papers
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…
The Poincare series of multiplier ideals of a simple complete ideal in a local ring of a smooth surface
Carlos Galindo, Francisco Monserrat
For a simple complete ideal of a local ring at a closed point on a smooth complex algebraic surface, we introduce an algebraic object, named Poincaré series , that g…