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<p>We characterize isotropic trialitarian triples in terms of the Schur indices of the underlying algebras over a base field <i>F</i> of arbitrary characteristic satisfying <i>I</i><Stack> <sub><i>q</i></sub> <sup>3</sup> </Stack><i>F</i> = 0. We also construct anisotropic trialitarian triples over such fields.</p>

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Triality over fields with I3 = 0

  • 期刊论文

  • 发表日期：

    2025年12月11日

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  • Fatma Kader Bıngöl,
  • Anne Quéguiner-Mathieu

摘要

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