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Conjugation matters. Bioctonionic veronese vectors and cayley-rosenfeld planes

2022-02-04Journal article Restricted
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dc.contributor.authorCorradetti, Daniele
dc.contributor.authorMarrani, Alessio
dc.contributor.authorChester, David
dc.contributor.authorAschheim, Ray
dc.date.accessioned2022-12-07T09:43:16Z
dc.date.available2022-12-07T09:43:16Z
dc.date.issued2022-02-04
dc.description.abstractMotivated by the recent interest in Lie algebraic and geometric structures arising from tensor products of division algebras and their relevance to high energy theoretical physics, we analyze generalized bioctonionic projective and hyperbolic planes. After giving a Veronese representation of the complexification of the Cayley plane OP2C, we present a novel, explicit construction of the bioctonionic Cayley–Rosenfeld plane (C⊗O)P2, again by exploiting Veronese coordinates. We discuss the isometry groups of all generalized bioctonionic planes, recovering all complex and real forms of the exceptional groups F4 and E6, and characterizing such planes as symmetric and Hermitian symmetric spaces. We conclude by discussing some possible physical applications.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1142/S0219887822501420pt_PT
dc.identifier.eissn1793-6977
dc.identifier.urihttp://hdl.handle.net/10400.1/18593
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherWorld Scientificpt_PT
dc.subjectVeronese coordinatespt_PT
dc.subjectCayley-Moufang planept_PT
dc.subjectRosenfeld planespt_PT
dc.subjectOctonionspt_PT
dc.subjectExceptional Lie groupspt_PT
dc.titleConjugation matters. Bioctonionic veronese vectors and cayley-rosenfeld planespt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issue09pt_PT
oaire.citation.titleInternational Journal of Geometric Methods in Modern Physicspt_PT
oaire.citation.volume19pt_PT
person.familyNameCorradetti
person.givenNameDaniele
person.identifier.orcid0000-0001-8086-0593
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationeb033bd7-b864-44d6-8c79-e64b25bb2b6e
relation.isAuthorOfPublication.latestForDiscoveryeb033bd7-b864-44d6-8c79-e64b25bb2b6e

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