Nonassociative quaternion algebras over rings

DOI10.1007/BF02773952zbMath1161.17300OpenAlexW1966773497MaRDI QIDQ2472730

Vincent Astier, Susanne Pumplün

Publication date: 22 February 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773952

Mathematics Subject Classification ID

Nonassociative division algebras (17A35)

Related Items (12)

How to Obtain Division Algebras from Twisted Cayley–Dickson Doublings ⋮ Real non-unital division algebras with \(su(3)\) as derivation algebra ⋮ The nonassociative algebras used to build fast-decodable space-time block codes ⋮ Tensor products of nonassociative cyclic algebras ⋮ Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings ⋮ How to obtain division algebras used for fast-decodable space-time block codes ⋮ Cayley–Dickson process and centrally essential rings ⋮ Cayley–Dickson process and centrally essential rings ⋮ How to obtain division algebras from a generalized Cayley-Dickson doubling process ⋮ Construction method for some real division algebras with \(\mathfrak{su}(3)\) as derivation algebra ⋮ How to obtain non-flexible quadratic algebras as mutation algebras of Hurwitz algebras ⋮ Centrally essential rings

Cites Work

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• Nonassociative algebras with scalar involution
• Composition of binary quadratic forms
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• Maximal orders in nonassociative quaternion algebras
• Composition algebras over \(k[t,\sqrt{at^2+b}\)]
• Composition algebras over a ring of fractions
• Linear algebras with associativity not assumed
• Quadratic forms permitting composition
• Composition algebras over rings of genus zero
• Quadratic Lattices in Function Fields of Genus 0
• Composition Algebras Over Algebraic Curves of Genus Zero

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