6 citations · 12 across the 13 of their papers we have counts for
5 papers · 1 filter
Okubo algebras and Exceptional Periodicity: tetracode gradings, root-lattice obstructions and Clifford cones
Alessio Marrani, Daniele Corradetti
The Okubo algebra brings together ternary gradings, integral root frames and rank-three geometry. We examine how these structures extend to the complex Exceptional Periodicity alge…
Integral Orders for the Okubo Algebra and Idempotent Geometries of the Lattice
Daniele Corradetti, Alessio Marrani
We study the Coxeter-Dickson order as a common integral support for the octonionic, para-octonionic and compact real Okubo products. The three algebra structures have the sam…
On a new class of high-corank Kac-Moody algebras
Simon Beaudoin, Quentin Bonnefoy, Alessio Marrani +2
We present recursive constructions of several families of generalized Cartan matrices associated with Kac-Moody algebras, whose sizes and coranks grow exponentially. The constructi…
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…
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…