Pseudo-Euclidean Jordan Algebras

DOI10.1080/00927872.2014.888562zbMath1388.17018arXiv0811.3702OpenAlexW2011132700MaRDI QIDQ5256724

Saïd Benayadi, Amir Baklouti

Publication date: 19 June 2015

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

Full work available at URL: https://arxiv.org/abs/0811.3702

zbMATH Keywords

double extensionsTits-Kantor-Koecher constructionJordan Yang-Baxter equationsymplectic quadratic Lie algebrasJordan-Manin algebraspseudo-euclidean Jordan algebras

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Simple, semisimple Jordan algebras (17C20) Jordan structures associated with other structures (17C50) Finite-dimensional structures of Jordan algebras (17C55) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (8)

Algebraic constructions for Jacobi-Jordan algebras ⋮ Tools to specify semi-simple Jordan triple systems ⋮ Quadratic Hom-Lie triple systems ⋮ On cohomology and deformations of Jacobi-Jordan algebras ⋮ Unnamed Item ⋮ Pseudo-Euclidean Alternative Algebras ⋮ Symplectic Jacobi-Jordan algebras ⋮ Inductive Description of Quadratic Lie and Pseudo-Euclidean Jordan Triple Systems

Cites Work

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• A taste of Jordan algebras
• The geometry of Jordan and Lie structures
• Classical Yang-Baxter equation and left invariant affine geometry on Lie groups
• Symplectic structures on quadratic Lie algebras
• Imbedding of Jordan Algebras Into Lie Algebras. II
• Imbedding of Jordan Algebras into Lie Algebras. I

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