Finding Octonion Algebras in Associative Algebras

DOI10.2307/2047585zbMath0698.17004OpenAlexW4239103866MaRDI QIDQ3475438

John R. Faulkner

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047585

zbMATH Keywords

octonion algebracomposition algebrageneric minimum polynomial

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Exceptional Jordan structures (17C40) Alternative rings (17D05) Composition algebras (17A75)

Related Items

Composition algebras with large derivation algebras, Commuting $U$-operators in Jordan algebras, Symmetric composition algebras, Absolute values on h^∗-algebras, A survey on Albert algebras, Cubic and symmetric compositions over rings, Symmetric composition algebras over algebraic varieties, Octonion algebras obtained from associative algebras with involution, Trialitarian automorphisms of Lie algebras. With an appendix by Knus and Larissa Cadorin.

Cites Work

• A geometric construction of Moufang planes
• A Cayley-Dickson Process for a Class of Structurable Algebras
• Generically Algebraic Algebras
• The Freudenthal-Springer-Tits Constructions of Exceptional Jordan Algebras
• Infinite-Dimensional Quadratic Forms Admitting Composition