Publication:
A trip around octonions

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dc.conference.dateNOV 26-28, 2021
dc.conference.locationVirtual, Online
dc.conference.organizerA Life in Mathematical Physics: Conference in Honour of Tekin Dereli, DERELI-FS 2021
dc.contributor.coauthorBilge, Ayse Humeyra
dc.contributor.coauthorKocak, Sahin
dc.contributor.departmentDepartment of Physics
dc.contributor.facultymemberYes
dc.contributor.kuauthorDereli, Tekin
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-10T00:09:33Z
dc.date.issued2022
dc.description.abstractIn these expository notes, after a contemplation on the dawn of octonions, we give proofs for the Frobenius theorem and the Hurwitz theorem, we review the basics of Clifford algebras and spin groups, and exemplify the startling role played by the octonions in 7- A nd 8-dimensional phenomena such as the special 3- A nd 4-forms, the Bonan form, Spin(7) and Spin(8) groups and the mysterious triality.
dc.description.fulltextNo
dc.description.harvestedfromManual
dc.description.indexedbyScopus
dc.description.openaccessYES
dc.description.peerreviewstatusN/A
dc.description.publisherscopeInternational
dc.description.readpublishN/A
dc.description.sponsoredbyTubitakEuTÜBİTAK
dc.description.sponsorshipThis work was part of the project ”Self-Duality in Higher Dimensional Manifolds” (No: 106T558) supported by The Scientific And Technological Research Council of Turkey (TUBITAK).
dc.description.studentonlypublicationNo
dc.description.studentpublicationNo
dc.description.versionN/A
dc.identifier.doi10.1088/1742-6596/2191/1/012006
dc.identifier.embargoN/A
dc.identifier.grantno106T558
dc.identifier.issn1742-6588
dc.identifier.issue1
dc.identifier.quartileN/A
dc.identifier.scopus2-s2.0-85124958451
dc.identifier.urihttps://doi.org/10.1088/1742-6596/2191/1/012006
dc.identifier.urihttps://hdl.handle.net/20.500.14288/17150
dc.identifier.volume2191
dc.keywordsClifford algebra
dc.keywordsFrobenius theorem
dc.keywordsOctonion
dc.keywordsTriality
dc.keywordsAlgebra
dc.language.isoeng
dc.publisherIOP Publishing
dc.relation.affiliationKoç University
dc.relation.collectionKoç University Institutional Repository
dc.relation.ispartofJournal of Physics: Conference Series
dc.relation.openaccessN/A
dc.rightsN/A
dc.subjectMathematics
dc.subjectPhysics
dc.subjectExceptional lie groups
dc.titleA trip around octonions
dc.typeConference Proceeding
dspace.entity.typePublication
local.contributor.kuauthorDereli, Dündar Tekin
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