3 citations · 3 across the 7 of their papers we have counts for
8 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…
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…
Alternating and symmetric superpowers of metric generalized Jordan superpairs
Diego Aranda-Orna, Alejandra S. Córdova-Martínez
The aim of this paper is to define and study the constructions of alternating and symmetric (super)powers of metric generalized Jordan (super)pairs. These constructions are obtaine…
On the Faulkner construction for generalized Jordan superpairs
Diego Aranda-Orna
In this paper, the well-known Faulkner construction is revisited and adapted to include the super case, which gives a bijective correspondence between generalized Jordan (super)pai…
Fine gradings on Kantor systems of Hurwitz type
Diego Aranda-Orna, Alejandra S. Córdova-Martínez
We give a classification up to equivalence of the fine group gradings by abelian groups on the Kantor pairs and triple systems associated to Hurwitz algebras (i.e., unital composit…
Gradings on tensor products of composition algebras and on the Smirnov algebra
Diego Aranda-Orna, Alejandra S. Córdova-Martínez
We give classifications of group gradings, up to equivalence and up to isomorphism, on the tensor product of a Cayley algebra and a Hurwitz algebra over a field of ch…
Fine gradings on simple exceptional Jordan pairs and triple systems
Diego Aranda-Orna
We give a classification up to equivalence of the fine group gradings by abelian groups on the Jordan pairs and triple systems of types bi-Cayley and Albert, under the assumption t…
Gradings on composition superalgebras
Diego Aranda-Orna
We classify up to equivalence the gradings on Hurwitz superalgebras and on symmetric composition superalgebras, over any field. Also, classifications up to isomorphism are given in…