English

Differential calculus on Jordan algebra and Jordan modules

Quantum Algebra 2018-07-04 v3 High Energy Physics - Theory Mathematical Physics math.MP Rings and Algebras

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.

Keywords

Cite

@article{arxiv.1803.08373,
  title  = {Differential calculus on Jordan algebra and Jordan modules},
  author = {Alessandro Carotenuto and Ludwik Dabrowski and Michel Dubois-Violette},
  journal= {arXiv preprint arXiv:1803.08373},
  year   = {2018}
}

Comments

24 pages, correction of the spelling of one of the authors

R2 v1 2026-06-23T01:01:52.436Z