8 citations · 33 across the 13 of their papers we have counts for
5 papers · 1 filter
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…
On the Operator Origins of Classical and Quantum Wave Functions
Xerxes D. Arsiwalla, David Chester, Louis H. Kauffman
We investigate operator algebraic origins of the classical Koopman-von Neumann wave function as well as the quantum mechanical one . We introduce a formalism of O…
Exploiting Anyonic Behavior of Quasicrystals for Topological Quantum Computing
Marcelo Amaral, David Chester, Fang Fang +1
We show that quasicrystals exhibit anyonic behavior that can be used for topological quantum computing. In particular, we study a correspondence between the fusion Hilbert spaces o…
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…