On the tensor product of composition algebras

DOI10.1006/jabr.2001.8773zbMath1017.17006OpenAlexW1998824995MaRDI QIDQ5949411

Susanne Pumplün, Patrick J. Morandi, José M. Pérez-Isquierdo

Publication date: 1 September 2003

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8773

zbMATH Keywords

automorphism grouptensor productcomposition algebrasAlbert formsgeneralized alternative nucleusoctonion algebraquaternion algebra

Mathematics Subject Classification ID

Composition algebras (17A75) Mal'tsev rings and algebras (17D10)

Related Items (13)

The centralizer of a 3-dimensional simple subalgebra in the universal enveloping algebra of a 7-dimensional simple Malcev algebra ⋮ The structure of symmetric tensor powers of composition algebras ⋮ Linear representations of formal loops ⋮ On the definitions of nucleus for dialgebras ⋮ An envelope for Malcev algebras. ⋮ Involutions on composition algebras ⋮ Ternary derivations of finite-dimensional real division algebras ⋮ An envelope for Bol algebras ⋮ Compact Exceptional Simple Kantor Triple Systems Defined on Tensor Products of Composition Algebras∗ ⋮ A universal enveloping algebra of Malcev superalgebras ⋮ Ternary Derivations of Generalized Cayley–Dickson Algebras ⋮ Enveloping Algebras of Solvable Malcev Algebras of Dimension Five ⋮ Gradings on tensor products of composition algebras and on the Smirnov algebra

Cites Work

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• On spherical double cones
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• Über eine Beziehung zwischen Malcev-Algebren und Lie-Tripelsystemen
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• On the Wedderburn norm condition for cyclic algebras
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• Tensor Products of Quaternion Algebras
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