Octonion algebras obtained from associative algebras with involution

DOI10.1090/S0002-9939-01-06241-4zbMath0994.17001OpenAlexW1924475782MaRDI QIDQ2781320

Michel L. Racine, Holger P. Petersson

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06241-4

zbMATH Keywords

associative algebrainvolutionoctonionsAlbert algebra

Mathematics Subject Classification ID

Exceptional Jordan structures (17C40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Composition algebras (17A75)

Cites Work

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• Algebras of odd degree with involution, trace forms and dihedral extensions
• Classification of algebras arising from the Tits process
• On the invariants mod 2 of Albert algebras
• Finding Octonion Algebras in Associative Algebras
• Composition algebras with associative bilinear form
• A Note on Quadratic Jordan Algebras of Degree 3
• Reduced models of Albert algebras

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