<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The purpose of the following is to try to make sense of the stereo- graphic projection in a non-commutative setup. To this end, we consider the open unit ball of a ternary ring of operators, which naturally comes equipped with a non-commutative version of a hyperbolic metric and ask for a manifold onto which the open unit ball can be mapped so that one might think of this situation as providing a noncommutative analog to mapping the open disk of complex numbers onto the hyperboloid in three space, equipped with the restriction of the Minkowskian metric. We also obtain a related result on the Jordan algebra of self-adjoint operators</p></abstract>

The purpose of the following is to try to make sense of the stereo- graphic projection in a non-commutative setup. To this end, we consider the open unit ball of a ternary ring of operators, which naturally comes equipped with a non-commutative version of a hyperbolic metric and ask for a manifold onto which the open unit ball can be mapped so that one might think of this situation as providing a noncommutative analog to mapping the open disk of complex numbers onto the hyperboloid in three space, equipped with the restriction of the Minkowskian metric. We also obtain a related result on the Jordan algebra of self-adjoint operators

On non-commutative Minkowski spheres

Bolyai Institute, University of Szeged, H-6720 Szeged, Hungary

Mathematisches Institut, Universität Münster, Einsteinstrasse 62, 48149 Münster, Germany

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"On non-commutative Minkowski spheres"}

The purpose of the following is to try to make sense of the stereo- graphic projection in a non-commutative setup. To this end, we consider the open unit ball...

On non-commutative Minkowski spheres

Publié en ligne: 17 mai 2013

Pages: 159 - 170

DOI: https://doi.org/10.2478/v10309-012-0047-y

Mots clés
Minkowski space, ternary ring of operators (TRO), Möbius transformation, Jordan structure

This content is open access.

On non-commutative Minkowski spheres

Publié en ligne: 17 mai 2013

Pages: 159 - 170

DOI: https://doi.org/10.2478/v10309-012-0047-y

Mots clésMinkowski space, ternary ring of operators (TRO), Möbius transformation, Jordan structure

This content is open access.

Mots clés
Minkowski space, ternary ring of operators (TRO), Möbius transformation, Jordan structure