A new class of nonassociative algebras with involution

DOI10.3792/PJAA.84.68zbMath1165.17002OpenAlexW2093277071MaRDI QIDQ952015

Daniel Mondoc, Noriaki Kamiya

Publication date: 5 November 2008

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1209649655

zbMATH Keywords

Lie superalgebratriple system\(\delta\)-structurable algebra

Mathematics Subject Classification ID

Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30)

Related Items (8)

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 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

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• A construction of simple Lie subalgebras of certain types from triple systems
• Compact Exceptional Simple Kantor Triple Systems Defined on Tensor Products of Composition Algebras∗
• Imbedding of Jordan Algebras into Lie Algebras. I
• Lie superalgebras

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