Construction method for some real division algebras with \(\mathfrak{su}(3)\) as derivation algebra

DOI10.1007/s11856-011-0207-1zbMath1268.17005OpenAlexW1991398282MaRDI QIDQ1760381

Susanne Pumplün

Publication date: 13 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11856-011-0207-1

zbMATH Keywords

derivationdivision algebraCayley algebra

Mathematics Subject Classification ID

Nonassociative division algebras (17A35)

Related Items (1)

Real non-unital division algebras with \(su(3)\) as derivation algebra

Cites Work

• Nonassociative algebras with scalar involution
• On flexible quadratic algebras
• An investigation of real division algebras using derivations
• Real division algebras with large automorphism group
• Two-dimensional real division algebras revisited
• The classification of two-dimensional nonassociative algebras
• Nonassociative quaternion algebras over rings
• Ternary derivations of finite-dimensional real division algebras
• Division composition algebras through their derivation algebras
• The Derivation Algebra of a Real Division Algebra
• Cayley algebra bundles onA²_K
• Reduced models of Albert algebras
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