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20222026
most citedConjugation Matters. Bioctonionic Veronese Vectors and Cayley-Rosenfeld Planes

13 citations · 41 across the 26 of their papers we have counts for

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math.RA2022★ 1 cited

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…

math.RA2022

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…

math.RA2022★ 8 cited

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…

math.RA2022

A Geometrical Interpretation of Okubo Spin Group

Daniele Corradetti, Francesco Zucconi

In this work we define, for the first time, the affine and projective plane over the real Okubo algebra, showing a concrete geometrical interpretation of its Spin group. Okubo alge…

math-ph2022★ 13 cited

Conjugation Matters. Bioctonionic Veronese Vectors and Cayley-Rosenfeld Planes

Daniele Corradetti, Alessio Marrani, David Chester +1

Motivated by the recent interest in Lie algebraic and geometric structures arising from tensor products of division algebras and their relevance to high energy theoretical physics,…