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arXiv · 2007.06981

Explicit isomorphisms of quaternion algebras over quadratic global fields

Tímea Csahók·Péter Kutas·Mickaël Montessinos·Gergely Zábrádi
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Abstract

Let $L$ be a separable quadratic extension of either $\mathbb{Q}$ or $\mathbb{F}_q(t)$. We propose efficient algorithms for finding isomorphisms between quaternion algebras over $L$. Our techniques are based on computing maximal one-sided ideals of the corestriction of a central simple $L$-algebra.

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Tímea Csahók, Péter Kutas, Mickaël Montessinos, Gergely Zábrádi. 2020-07-14. Explicit isomorphisms of quaternion algebras over quadratic global fields. https://arxiv.org/abs/2007.06981

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