A Construction Method for Albert Algebras over Algebraic Varieties

DOI10.1080/00927872.2014.892952zbMath1370.17033OpenAlexW1983400999MaRDI QIDQ5256739

Susanne Pumplün

Publication date: 19 June 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.892952

zbMATH Keywords

Jordan algebrasschemelocally free modules

Mathematics Subject Classification ID

Jordan structures associated with other structures (17C50) Finite-dimensional structures of Jordan algebras (17C55)

Cites Work

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• Forms of higher degree permitting composition
• Pseudo-composition algebras
• Jordan algebras and \(F_4\) bundles over the affine plane
• Involutions on composition algebras
• On algebras satisfying \(x^2x^2 = N(x)x\)
• Albert algebras over curves of genus zero and one
• Generically algebraic Jordan algebras over commutative rings
• Vector Bundles Over an Elliptic Curve
• On indecomposable vector bundles
• Quaternion algebras over elliptic curves
• On algebras of rank three
• The albert algebra of generic matrices
• Jordan Algebras Over Algebraic Varieties

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