Jordan algebras, exceptional groups, and higher composition laws

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dc.creatorKrutelevich, Sergei
dc.date2004-11-05
dc.date.accessioned2026-07-07T05:13:59Z
dc.date.available2026-07-07T05:13:59Z
dc.descriptionWe consider an integral version of the Freudenthal construction relating Jordan algebras and exceptional algebraic groups. We show how this construction is related to higher composition laws of M.Bhargava in number theory. We propose an algorithmic approach to studying orbit spaces of groups underlying higher composition laws. Using this method we discover two new examples of spaces sharing similar properties, and indicate several more examples of spaces where such composition laws may be introduced.
dc.description54 pages
dc.identifierhttps://arxiv.org/abs/math/0411104
dc.identifierhttp://arxiv.org/abs/math/0411104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73113
dc.subjectNumber Theory
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject11E16, 17C40, 20G15
dc.titleJordan algebras, exceptional groups, and higher composition laws
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