arXiv subjects

Alberto Daza-García

Publications and source records attributed to Alberto Daza-García.

3 recordsLinked to original sources

arXiv2026

Automorphism group schemes of Kantor pairs of associative central simple structurable algebras

In this work, a description of the automorphism group schemes is given for the Kantor pairs (and for some Kantor triple systems related to them) associated to associative central simple structurable algebras in the three ``split'' cases, where the base field is algebraically closed of characteristic different from $2$. For two of the three cases (the ones with orthogonal and symplectic involutions), we relate the decomposition (as a central product) of the automorphism group scheme to a decomposition (as a tensor product) of the corresponding Kantor pair regarded as a metric generalized Jordan pair.

math.RA↗

arXiv2025

Automorphism group schemes of special simple Jordan pairs of types I and IV

In this work, the automorphism group schemes of finite-dimensional simple Jordan pairs of types I and IV, and of some Jordan triple systems related to them, are determined. We assume $\mathrm{char}(\mathbb{F}) \neq 2$ for the base field $\mathbb{F}$.

math.RA↗

arXiv2020

Cross products, automorphisms, and gradings

The affine group schemes of automorphisms of the multilinear r-fold cross products on finite-dimensional vectors spaces over fields of characteristic not two are determined. Gradings by abelian groups on these structures, that correspond to morphisms from diagonalizable group schemes into these group schemes of automorphisms, are completely classified, up to isomorphism.

math.RT↗