Cohomological invariants of odd degree Jordan algebras

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dc.creatorMacDonald, Mark L.
dc.date2008-01-10
dc.date.accessioned2026-07-07T08:53:41Z
dc.date.available2026-07-07T08:53:41Z
dc.descriptionIn this paper we determine all possible cohomological invariants of Aut(J)-torsors in Galois cohomology with mod 2 coefficients (characteristic of the base field not 2), for J a split central simple Jordan algebra of odd degree n>=3. This has already been done for J of orthogonal and exceptional type, and we extend these results to unitary and symplectic type. We will use our results to compute the essential dimensions of some groups, for example we show that ed(PSp(2n))=n+1 for n odd.
dc.description12 pages, to appear in Mathematical Proceedings of the Cambridge Philosophical Society
dc.identifierhttps://arxiv.org/abs/0801.1634
dc.identifierhttp://arxiv.org/abs/0801.1634
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145708
dc.subjectRings and Algebras
dc.subjectAlgebraic Geometry
dc.subject11E72; 16W10, 17C10, 20G15
dc.titleCohomological invariants of odd degree Jordan algebras
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