Bott type periodicity for the higher octonions
Marie Kreusch
Université de Liège, Belgium
![Bott type periodicity for the higher octonions cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jncg-volume-9-issue-4.png&w=3840&q=90)
Abstract
We study the series of complex nonassociative algebras and real nonassociative algebras introduced in [10]. These algebras generalize the classical algebras of octonions and Clifford algebras. The algebras and with have a natural -grading, and they are characterized by cubic forms over the field . We establish a periodicity for the algebras and similar to that of the Clifford algebras and .
Cite this article
Marie Kreusch, Bott type periodicity for the higher octonions. J. Noncommut. Geom. 9 (2015), no. 4, pp. 1201–1225
DOI 10.4171/JNCG/221