Symplectic Jacobi-Jordan algebras

DOI10.1080/03081087.2019.1626334zbMath1473.17082OpenAlexW3080254710WikidataQ127743420 ScholiaQ127743420MaRDI QIDQ4992661

Saïd Benayadi, Amir Baklouti

Publication date: 9 June 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1626334

zbMATH Keywords

central extensionsJordan algebrassymplectic structuresdouble extensionsanti-derivationsJacobi-Jordan algebrasgeneralized semi-direct productspseudo-euclidean structuresskew-symmetric algebras

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Jordan structures associated with other structures (17C50) Finite-dimensional structures of Jordan algebras (17C55)

Related Items (4)

Algebraic constructions for Jacobi-Jordan algebras ⋮ Tools to specify semi-simple Jordan triple systems ⋮ On cohomology and deformations of Jacobi-Jordan algebras ⋮ Extensions, crossed modules and pseudo quadratic Lie type superalgebras

Cites Work

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• Jacobi-Jordan algebras
• Abelian para-Kähler structures on Lie algebras
• On a type of commutative algebras
• On nuclear Bernstein algebras
• Jordan-Lie super algebra and Jordan-Lie triple system
• On an algebraic generalization of the quantum mechanical formalism
• Symplectic double extension of a symplectic Lie group
• Pseudo-Euclidean Jordan Algebras

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