On the peirce decompositions for freudenthal—kantor triple systems

DOI10.1080/00927879708825956zbMath0891.17004OpenAlexW2089821627MaRDI QIDQ4344683

Noriaki Kamiya

Publication date: 17 July 1997

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

Full work available at URL: https://doi.org/10.1080/00927879708825956

zbMATH Keywords

anti-derivationJordan triple systemFreudenthal-Kantor triple systems

Mathematics Subject Classification ID

Ternary compositions (17A40) Idempotents, Peirce decompositions (17C27)

Related Items (9)

A class of Hermitian generalized Jordan triple systems and Chern–Simons gauge theory ⋮ 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 STRUCTURE THEORY OF (−1,−1)-FREUDENTHAL KANTOR TRIPLE SYSTEMS ⋮ A Peirce Decomposition for Generalized Jordan Triple Systems of Second Order ⋮ A CHARACTERIZATION OF (−1, −1)-FREUDENTHAL–KANTOR TRIPLE SYSTEMS ⋮ Hermitian \((\varepsilon, \delta)\)-Freudenthal-Kantor triple systems and certain applications of \(*\)-generalized Jordan triple systems to field theory ⋮ A Review of Peirce Decomposition for Unitary $$(-1,-1)$$-Freudenthal Kantor Triple Systems ⋮ Hermitian generalized Jordan triple systems and certain applications to field theory

Cites Work

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• A structure theory of Freudenthal-Kantor triple systems
• On compact generalized Jordan triple systems of the second kind
• A class of nonassociative algebras with involution containing the class of Jordan algebras
• Lie algebras of type \(E_6\)
• Von Neumann regularity in Jordan triple systems
• Graded Lie algebras and generalized Jordan triple systems
• On the Freudenthal's construction of exceptional Lie algebras
• The Freudenthal-Springer-Tits Constructions of Exceptional Jordan Algebras
• Lie and Jordan Triple Systems

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