Classification of the Algebras 𝕆p,q

DOI10.1080/00927872.2014.923900zbMath1377.17006arXiv1312.3935OpenAlexW1589251534MaRDI QIDQ3448260

Marie Kreusch, Sophie Morier-Genoud

Publication date: 23 October 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3935

zbMATH Keywords

graded algebrastwisted group algebrasoctonionsnonassociative algebras

Mathematics Subject Classification ID

Superalgebras (17A70) Quadratic spaces; Clifford algebras (11E88) Composition algebras (17A75)

Related Items (1)

Bott type periodicity for the higher octonions

Cites Work

• A series of algebras generalizing the octonions and Hurwitz-Radon identity
• New solutions to the Hurwitz problem on square identities
• Clifford algebras obtained by twisting of group algebras
• Quasialgebra structure of the octonions
• Alternative quasialgebras
• Orthogonal Designs and a Cubic Binary Function

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