13 citations · 41 across the 26 of their papers we have counts for
5 papers · 2 filters
Collineation groups of octonionic and split-octonionic planes
Daniele Corradetti, Alessio Marrani, Francesco Zucconi
We present a Veronese formulation of the octonionic and split-octonionic projective and hyperbolic planes. This formulation of the incidence planes highlights the relationship betw…
All Hurwitz Algebras from 3D Geometric Algebras
Daniele Corradetti, Richard Clawson, Klee Irwin
Hurwitz algebras are unital composition algebras widely known in algebra and mathematical physics for their useful applications. In this paper, inspired by works of Lesenby and Hit…
A minimal and non-alternative realisation of the Cayley plane
Daniele Corradetti, Alessio Marrani, Francesco Zucconi
The compact 16-dimensional Moufang plane, also known as the Cayley plane, has traditionally been defined through the lens of octonionic geometry. In this study, we present a novel…
Jordan algebras over icosahedral cut-and-project quasicrystals
Daniele Corradetti, David Chester, Raymond Aschheim +1
In this paper we present a general setting for aperiodic Jordan algebras arising from icosahedral quasicrystals that are obtainable as model sets of a cut-and-project scheme with a…
Three Fibonacci-Chain Aperiodic Algebras
Daniele Corradetti, David Chester, Raymond Aschheim +1
Aperiodic algebras are infinite dimensional algebras with generators corresponding to an element of the aperiodic set. These algebras proved to be an useful tool in studying elemen…