English

Triality over fields with $I^3=0$

Rings and Algebras 2025-11-04 v2

Abstract

We characterize isotropic trialitarian triples in terms of the Schur indices of the underlying algebras over a base field FF of arbitrary characteristic satisfying Iq3F=0I_q^3 F=0. We also construct anisotropic trialitarian triples over such fields.

Keywords

Cite

@article{arxiv.2312.10442,
  title  = {Triality over fields with $I^3=0$},
  author = {Fatma Kader Bingöl and Anne Quéguiner-Mathieu},
  journal= {arXiv preprint arXiv:2312.10442},
  year   = {2025}
}

Comments

12 pages

R2 v1 2026-06-28T13:53:30.388Z