A Trip Around Octonions
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Date
2022
Authors
Bilge, A.H.
Dereli, T.
Kocak, A.
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Publishing Ltd
Open Access Color
GOLD
Green Open Access
Yes
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No
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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.
Description
A Life in Mathematical Physics: Conference in Honour of Tekin Dereli, DERELI-FS 2021 --26 November 2021 through 28 November 2021 -- --177155
Keywords
Clifford algebra, Frobenius theorem, Octonion, Triality, Algebra, Triality, Algebra, Frobenius theorem, Octonion, Clifford algebra
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Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Scopus Q
Q3
OpenCitations Citation Count
N/A
Source
Journal of Physics: Conference Series
Volume
2191
Issue
1
Start Page
012006
End Page
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Scopus : 0
