A Peirce Decomposition for Generalized Jordan Triple Systems of Second Order

DOI10.1081/AGB-120024858zbMath1039.17032arXivmath/0206238MaRDI QIDQ4435162

Issai Kantor, Noriaki Kamiya

Publication date: 26 November 2003

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

Full work available at URL: https://arxiv.org/abs/math/0206238

Mathematics Subject Classification ID

Idempotents, Peirce decompositions (17C27)

Related Items (13)

A class of Hermitian generalized Jordan triple systems and Chern–Simons gauge theory ⋮ The Peirce decomposition for Jordan quadruple systems ⋮ The Peirce decomposition for generalized Jordan triple systems of finite order ⋮ 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 ⋮ Fine gradings on Kantor systems of Hurwitz type ⋮ Triality groups associated with triple systems and their homotope algebras ⋮ 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 ⋮ 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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• Jordan triple systems by the grid approach
• A class of nonassociative algebras with involution containing the class of Jordan algebras
• Jordan Tripelsysteme und die Koecher-Konstruktion von Lie Algebren
• Von Neumann regularity in Jordan triple systems
• Imbedding of Jordan Algebras Into Lie Algebras. II
• Elementary groups and invertibility for kantor pairs
• Structurable triples, Lie triples, and symmetric spaces
• On the peirce decompositions for freudenthal—kantor triple systems
• Imbedding of Jordan Algebras into Lie Algebras. I
• Lie and Jordan Triple Systems

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