English

Representations of Clifford algebras with hyperbolic numbers

Mathematical Physics 2014-07-01 v2 General Relativity and Quantum Cosmology High Energy Physics - Theory math.MP

Abstract

The representations of Clifford algebras and their involutions and anti-involutions are fully investigated since decades. However, these representations do sometimes not comply with usual conventions within physics. A few simple examples are presented, which point out that the hyperbolic numbers can close this gap.

Keywords

Cite

@article{arxiv.0707.3981,
  title  = {Representations of Clifford algebras with hyperbolic numbers},
  author = {S. Ulrych},
  journal= {arXiv preprint arXiv:0707.3981},
  year   = {2014}
}

Comments

20 pages Latex2e; minor changes

R2 v1 2026-06-21T09:02:10.988Z