Bott type periodicity for the higher octonions

DOI10.4171/JNCG/221zbMath1381.15014arXiv1405.6521OpenAlexW2963937835MaRDI QIDQ5963569

Marie Kreusch

Publication date: 22 February 2016

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6521

zbMATH Keywords

graded algebrasClifford algebrasnon-commutative algebrastwisted group algebrascubic formsnon-associative algebrasoctonion

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Graded rings and modules (associative rings and algebras) (16W50) Twisted and skew group rings, crossed products (16S35)

Cites Work

• A series of algebras generalizing the octonions and Hurwitz-Radon identity
• New solutions to the Hurwitz problem on square identities
• Gradings on octonions
• Clifford algebras obtained by twisting of group algebras
• Quasialgebra structure of the octonions
• Orthogonal Designs and a Cubic Binary Function
• Classification of the Algebras 𝕆_p,q
• The octonions
• Twisted group algebras and their representations

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