Differential calculus on Jordan algebra and Jordan modules

Abstract

Having in mind applications to particle physics we develop the differential calculus over Jordan algebras and the theory of connections on Jordan modules. In particular we focus on differential calculus over the exceptional Jordan algebra and provide a complete characterization of the theory of connections for free Jordan modules.

arXiv comment24 pages, correction of the spelling of one of the authors

References in corpus (2)

• The Spectral Action Principle
• Exceptional quantum geometry and particle physics

Cited by in corpus (5)

• The standard model, the Pati-Salam model, and "Jordan geometry"
• Spectral Noncommutative Geometry, Standard Model and all that
• The geometry of physical observables
• Particle models from special Jordan backgrounds and spectral triples
• Jordan Algebraic Interpretation of Maximal Parabolic Subalgebras : Exceptional Lie Algebras