3 papers
math.RA2020
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…
math.RA2018
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…
math.RA2018
Gradings on semisimple algebras
Alejandra S. Córdova-Martínez, Alberto Elduque
The classification of gradings by abelian groups on finite direct sums of simple finite-dimensional nonassociative algebras over an algebraically closed field is reduced, by means…