Algebras with involution that become hyperbolic over the fonction field of a conic

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dc.creatorQuéguiner-Mathieu, Anne
dc.creatorTignol, Jean-Pierre
dc.date2008-05-27
dc.date.accessioned2026-07-07T12:19:16Z
dc.date.available2026-07-07T12:19:16Z
dc.descriptionWe study central simple algebras with involution of the first kind that become hyperbolic over the function field of the conic associated to a given quaternion algebra $Q$. We classify these algebras in degree~4 and give an example of such a division algebra with orthogonal involution of degree~8 that does not contain $Q$ with its canonical involution, even though it contains $Q$ and is totally decomposable into a tensor product of quaternion algebras with involution.
dc.identifierhttps://arxiv.org/abs/0805.4138
dc.identifierhttp://arxiv.org/abs/0805.4138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212693
dc.subjectRings and Algebras
dc.subject16W10; 11E04
dc.titleAlgebras with involution that become hyperbolic over the fonction field of a conic
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