Publication: A trip around octonions
| dc.contributor.coauthor | Bilge, Ayse Humeyra | |
| dc.contributor.coauthor | Kocak, Sahin | |
| dc.contributor.department | Department of Physics | |
| dc.contributor.kuauthor | Dereli, Tekin | |
| dc.contributor.schoolcollegeinstitute | College of Sciences | |
| dc.date.accessioned | 2024-11-10T00:09:33Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | In 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. © 2021 Published under licence by IOP Publishing Ltd. | |
| dc.description.indexedby | Scopus | |
| dc.description.issue | 1 | |
| dc.description.openaccess | YES | |
| dc.description.publisherscope | International | |
| dc.description.sponsoredbyTubitakEu | N/A | |
| dc.description.sponsorship | This 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.volume | 2191 | |
| dc.identifier.doi | 10.1088/1742-6596/2191/1/012006 | |
| dc.identifier.issn | 1742-6588 | |
| dc.identifier.scopus | 2-s2.0-85124958451 | |
| dc.identifier.uri | https://doi.org/10.1088/1742-6596/2191/1/012006 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14288/17150 | |
| dc.keywords | Clifford algebra | |
| dc.keywords | Frobenius theorem | |
| dc.keywords | Octonion | |
| dc.keywords | Triality | |
| dc.keywords | Algebra | |
| dc.language.iso | eng | |
| dc.publisher | IOP Publishing Ltd | |
| dc.relation.ispartof | Journal of Physics: Conference Series | |
| dc.subject | Mathematics | |
| dc.subject | Quaternion algebra | |
| dc.subject | Exceptional lie groups | |
| dc.title | A trip around octonions | |
| dc.type | Conference Proceeding | |
| dspace.entity.type | Publication | |
| local.contributor.kuauthor | Dereli, Dündar Tekin | |
| local.publication.orgunit1 | College of Sciences | |
| local.publication.orgunit2 | Department of Physics | |
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