7 citations · 7 across the 6 of their papers we have counts for
6 papers
Automorphism group schemes of Kantor pairs of associative central simple structurable algebras
Diego Aranda-Orna, Alejandra S. Córdova-Martínez, Alberto Daza-García
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 s…
Gradings on associative triple systems of the second kind
Alberto Daza-Garcia
On this work we study associative triple systems of the second kind. We show that for simple triple systems the automorphism group scheme is isomorphic to the automorphism group sc…
Automorphism group schemes of special simple Jordan pairs of types I and IV
Diego Aranda-Orna, Alberto Daza-García
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 assu…
Automorphisms, derivations and gradings of the split quartic Cayley algebra
Victor Blasco, Alberto Daza-Garcia
The split quartic Cayley algebra is a structurable algebra which has been used to give constructions of Lie algebras of type D4. Here, we calculate its group of automorphisms, its…
From octonions to composition superalgebras via tensor categories
Alberto Daza-Garcia, Alberto Elduque, Umut Sayin
The nontrivial unital composition superalgebras, of dimension 3 and 6, which exist only in characteristic 3, are obtained from the split Cayley algebra and its order 3 automorphism…
Cross products, automorphisms, and gradings
Alberto Daza-García, Alberto Elduque, Liming Tang
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. Gradin…