Quadratic forms of dimension 8 with trivial discrimiand and Clifford algebra of index 4

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dc.creatorMasquelein, Alexandre
dc.creatorQuéguiner-Mathieu, Anne
dc.creatorTignol, Jean-Pierre
dc.date2009-02-06
dc.date.accessioned2026-07-07T12:38:53Z
dc.date.available2026-07-07T12:38:53Z
dc.descriptionIzhboldin and Karpenko proved in 2000 that any quadratic form of dimension 8 with trivial discriminant and Clifford algebra of index 4 is isometric to the transfer, with respect to some quadratic étale extension, of a quadratic form similar to a 2-fold Pfister form. We give a new proof of this result, based on a theorem of decomposability for degree 8 and index 4 algebras with orthogonal involution.
dc.identifierhttps://arxiv.org/abs/0902.1031
dc.identifierhttp://arxiv.org/abs/0902.1031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218919
dc.subjectRings and Algebras
dc.subject11E04, 16K20, 16W10
dc.titleQuadratic forms of dimension 8 with trivial discrimiand and Clifford algebra of index 4
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