13 citations · 37 across the 8 of their papers we have counts for
8 papers
Three Dixon-Rosenfeld Planes
David Chester, Alessio Marrani, Daniele Corradetti +1
Rosenfeld postulated ``generalized'' projective planes, which exploit a correspondence between rank-one idempotents of Jordan algebras and points of pr…
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…
Dixon-Rosenfeld Lines and the Standard Model
David Chester, Alessio Marrani, Daniele Corradetti +2
We present three new coset manifolds named Dixon-Rosenfeld lines that are similar to Rosenfeld projective lines except over the Dixon algebra $\mathbb{C}\otimes\mathbb{H}\otimes\ma…
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…
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…
Character varieties and algebraic surfaces for the topology of quantum computing
Michel Planat, Marcelo M. Amaral, Fang Fang +3
It is shown that the representation theory of some finitely presented groups thanks to their character variety is related to algebraic surfaces. We make use of t…
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…
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,…