Models of Compact Simple Kantor Triple Systems Defined on a Class of Structurable Algebras of Skew-Dimension One

DOI10.1080/00927870600862656zbMath1165.17004OpenAlexW2011158116MaRDI QIDQ3422820

Daniel Mondoc

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1080/00927870600862656

zbMATH Keywords

composition algebrasstructurable algebrasKantor triple systems

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Simple, semisimple Jordan algebras (17C20) Composition algebras (17A75) Nonassociative algebras satisfying other identities (17A30) Ternary compositions (17A40)

Related Items (6)

On certain algebraic structures associated with Lie (super)algebras ⋮ On constructions of Lie (super) algebras and (𝜀,δ)-Freudenthal–Kantor triple systems defined by bilinear forms ⋮ A new class of nonassociative algebras with involution ⋮ A STRUCTURE THEORY OF (−1,−1)-FREUDENTHAL KANTOR TRIPLE SYSTEMS ⋮ A CHARACTERIZATION OF (−1, −1)-FREUDENTHAL–KANTOR TRIPLE SYSTEMS ⋮ A Review of Peirce Decomposition for Unitary $$(-1,-1)$$-Freudenthal Kantor Triple Systems

Cites Work

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• On compact generalized Jordan triple systems of the second kind
• Correction to our paper: On compact generalized Jordan triple systems of the second kind
• A class of nonassociative algebras with involution containing the class of Jordan algebras
• Simple structurable algebras of skew-dimension one
• Models of isotropic simple lie algebras
• Elementary groups and invertibility for kantor pairs
• Unitary isotopes of structurable algebras
• STRUCTURABLE ALGEBRAS AND MODELS OF COMPACT SIMPLE KANTOR TRIPLE SYSTEMS DEFINED ON TENSOR PRODUCTS OF COMPOSITION ALGEBRAS

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