Quaternion algebras over elliptic curves

DOI10.1080/00927879808826415zbMath0920.17001OpenAlexW2133797004MaRDI QIDQ4224035

Susanne Pumplün

Publication date: 19 September 1999

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

Full work available at URL: https://doi.org/10.1080/00927879808826415

zbMATH Keywords

elliptic curvescomposition algebrasoctonion algebrasgeneralized Cayley-Dickson process

Mathematics Subject Classification ID

Composition algebras (17A75)

Related Items (10)

Albert algebras over curves of genus zero and one ⋮ Jordan Algebras Over Algebraic Varieties ⋮ Involutions on composition algebras ⋮ On flexible quadratic algebras ⋮ Quaternion Algebras over Curves of Genus One Without Rational Points ⋮ TWO-TORSION OF THE BRAUER GROUPS OF HYPERELLIPTIC CURVES AND UNRAMIFIED ALGEBRAS OVER THEIR FUNCTION FIELDS ⋮ Symmetric composition algebras over algebraic varieties ⋮ A NON-ORTHOGONAL CAYLEY–DICKSON DOUBLING ⋮ Some remarks on Brauer groups of \(K3\) surfaces ⋮ A Construction Method for Albert Algebras over Algebraic Varieties

Cites Work

• Algebraic elements in division algebras over function fields of curves
• Vector Bundles Over an Elliptic Curve
• On indecomposable vector bundles
• Composition algebras over rings of genus zero

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