A trip around octonions

Bilge A. H., Dereli T., Kocak S.

A Life in Mathematical Physics: Conference in Honour of Tekin Dereli, DERELI-FS 2021, Virtual, Online, 26 - 28 November 2021, vol.2191 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 2191
  • Doi Number: 10.1088/1742-6596/2191/1/012006
  • City: Virtual, Online
  • Anadolu University Affiliated: Yes

Abstract

© 2021 Published under licence by IOP Publishing Ltd.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.