The albert algebra of generic matrices

DOI10.1080/00927879908826657zbMath0953.17021OpenAlexW2002179654MaRDI QIDQ4261232

Holger P. Petersson

Publication date: 26 January 2001

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

Full work available at URL: https://doi.org/10.1080/00927879908826657

zbMATH Keywords

Jordan algebrasAlbert algebrasexceptional Jordan algebras

Mathematics Subject Classification ID

Division algebras and Jordan algebras (17C60)

Related Items (4)

Structure Theorems for Jordan Algebras of Degree Three Over Fields of Arbitrary Characteristic ⋮ Jordan Algebras Over Algebraic Varieties ⋮ Classes of structurable algebras of skew-rank ⋮ A Construction Method for Albert Algebras over Algebraic Varieties

Cites Work

• Springer forms and the first Tits construction of exceptional Jordan division algebras
• The structure of strongly prime quadratic Jordan algebras
• Zelmanov's prime theorem for quadratic Jordan algebras
• Jordan-Divisionsalgebren und Bewertungen
• Separable Jordan pairs over commutative rings
• Isotopy and invariants of Albert algebras
• Jordan algebras and \(F_4\) bundles over the affine plane
• On the invariants mod 2 of Albert algebras
• On invariants of \(F_ 4\) and the center of the Albert algebra
• Composition Algebras Over Algebraic Curves of Genus Zero
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