Composition algebras and the two faces of G2

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dc.contributor.authorBoya, Luis J.
dc.contributor.authorCampoamor Stursberg, Otto-Rudwig
dc.date.accessioned2023-06-20T03:32:03Z
dc.date.available2023-06-20T03:32:03Z
dc.date.issued2010
dc.description.abstractWe consider composition and division algebras over the real numbers: We note two roles for the group G2: as automorphism group of the octonions and as the isotropy group of a generic 3-form in 7 dimensions. We show why they are equivalent, by means of a regular metric. We express in some diagrams the relation between some pertinent groups, most of them related to the octonions. Some applications to physics are also discussed.en
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Matemática Interdisciplinar (IMI)
dc.description.refereedTRUE
dc.description.sponsorshipComisión Interministerial de Ciencia y Tecnología (España)
dc.description.sponsorshipUniverisdad Complutense de Madrid/Banco de Santander
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/20883
dc.identifier.doi10.1142/S0219887810004348
dc.identifier.issn0219-8878
dc.identifier.officialurlhttps//doi.org/10.1142/S0219887810004348
dc.identifier.relatedurlhttp://www.worldscientific.com/doi/abs/10.1142/S0219887810004348
dc.identifier.urihttps://hdl.handle.net/20.500.14352/43761
dc.issue.number3
dc.journal.titleInternational Journal of Geometric Methods in Modern Physics
dc.language.isoeng
dc.page.final378
dc.page.initial367
dc.publisherWorld Scientific
dc.relation.projectIDFPA2006-0235
dc.relation.projectIDGR58/4120818-920920
dc.rights.accessRightsopen access
dc.subject.cdu512
dc.subject.keywordFirst exceptional Lie group G2
dc.subject.keywordComposition algebra
dc.subject.keywordDivision algebra
dc.subject.keywordOctonions
dc.subject.keywordAutomorphism group of octonions
dc.subject.keywordIsotropy group
dc.subject.keywordQuaternions
dc.subject.keywordSplit octonions
dc.subject.keywordTensors
dc.subject.keywordSpin groups
dc.subject.keywordF4
dc.subject.ucmÁlgebra
dc.subject.unesco1201 Álgebra
dc.titleComposition algebras and the two faces of G2en
dc.typejournal article
dc.volume.number7
dspace.entity.typePublication
relation.isAuthorOfPublication72801982-9f3c-4db0-b765-6e7b4aa2221b
relation.isAuthorOfPublication.latestForDiscovery72801982-9f3c-4db0-b765-6e7b4aa2221b

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