Physics with non-unital algebras? An invitation to the Okubo algebra
A Marrani, D Corradetti, F Zucconi - Journal of Physics A …, 2023 - iopscience.iop.org
This paper discusses the potential application of the Okubonions, ie the Okubo algebra,
within quantum chromodynamics (QCD). The Okubo algebra lacks a unit element and sits in …
within quantum chromodynamics (QCD). The Okubo algebra lacks a unit element and sits in …
Recovering Composition Algebras from 3D Geometric Algebras
D Corradetti - arXiv preprint arXiv:2403.12569, 2024 - arxiv.org
Generalized Hurwitz theorem states that there are fifteen composition algebras for any given
field: seven unital, six para-unital, and two non-unital algebras. In this article we explore the …
field: seven unital, six para-unital, and two non-unital algebras. In this article we explore the …
All Hurwitz Algebras from 3D Geometric Algebras
D Corradetti, R Clawson, K Irwin - arXiv preprint arXiv:2311.02269, 2023 - arxiv.org
Hurwitz algebras are unital composition algebras widely known in algebra and
mathematical physics for their useful applications. In this paper, inspired by works of …
mathematical physics for their useful applications. In this paper, inspired by works of …