248 citations · 2.7k across the 131 of their papers we have counts for
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A magic approach to octonionic Rosenfeld spaces
Alessio Marrani, Daniele Corradetti, David Chester +2
In his study on the geometry of Lie groups, Rosenfeld postulated a strict relation between all real forms of exceptional Lie groups and the isometries of projective and hyperbolic…
Deformation of the Okubic Albert algebra and its relation to the Okubic affine and projective planes
Daniele Corradetti, Alessio Marrani, Francesco Zucconi
We present a deformation of the Okubic Albert algebra introduced by Elduque whose rank-1 idempotent elements are in biunivocal correspondence with points of the Okubic projective p…
Octonionic Planes and Real Forms of G2, F4 and E6
Daniele Corradetti, Alessio Marrani, David Chester +1
In this work we present a useful way to introduce the octonionic projective and hyperbolic plane through the use of Veronese vectors. Then we focus on their relation with the excep…
Real forms of embeddings of maximal reductive subalgebras of the complex simple Lie algebras of rank up to 8
Willem A. de Graaf, Alessio Marrani
We give tables of noncompact real forms of maximal reductive subalgebras of complex simple Lie algebras of rank up to 8. These were obtained by computational methods that we briefl…
Sextonions, Zorn Matrices, and
Alessio Marrani, Piero Truini
By exploiting suitably constrained Zorn matrices, we present a new construction of the algebra of sextonions (over the algebraically closed field ). This allows for an…
Explicit Orbit Classification of Reducible Jordan Algebras and Freudenthal Triple Systems
L. Borsten, M. J. Duff, S. Ferrara +2
We determine explicit orbit representatives of reducible Jordan algebras and of their corresponding Freudenthal triple systems. This work has direct application to the classificati…