Special Identities for Quasi-Jordan Algebras

DOI10.1080/00927872.2010.488671zbMath1241.17032arXiv1008.2723OpenAlexW2141607917MaRDI QIDQ3092951

Luiz Antonio Peresi, Murray R. Bremner

Publication date: 12 October 2011

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

Full work available at URL: https://arxiv.org/abs/1008.2723

zbMATH Keywords

polynomial identitiesrepresentations of the symmetric groupquasi-Jordan algebras, associative dialgebras, computer algebra

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Jordan structures associated with other structures (17C50) Identities and free Jordan structures (17C05) Noncommutative Jordan algebras (17A15) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50)

Related Items (16)

SPECIAL AND EXCEPTIONAL JORDAN DIALGEBRAS ⋮ Special identities for the pre-Jordan product in the free dendriform algebra ⋮ A polynomial identity for the bilinear operation in Lie–Yamaguti algebras ⋮ Jordan quadruple systems ⋮ Special identities for Bol algebras ⋮ Jordan triple disystems ⋮ LEIBNIZ TRIPLE SYSTEMS ⋮ On special identities for dialgebras ⋮ Polynomial Identities for Tangent Algebras of Monoassociative Loops ⋮ The simple non-Lie Malcev algebra as a Lie-Yamaguti algebra ⋮ Lie and Jordan Products in Interchange Algebras ⋮ Symmetrization of Jordan dialgebras ⋮ Dendriform Analogues of Lie and Jordan Triple Systems ⋮ A retrospect of the research in nonassociative algebras in IME-USP ⋮ On the commutator in Leibniz algebras ⋮ Malcev dialgebras

Cites Work

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• Nonhomogeneous subalgebras of Lie and special Jordan superalgebras
• Tilted irreducible representations of the permutation group
• Some identities valid in special Jordan algebras but not valid in all Jordan algebras
• Gesetze in Ringen. I
• On the Definition of Quasi-Jordan Algebra
• Jordan Algebras with Three Generators
• Quasi-Jordan Algebras
• Special jordan identities
• On Homomorphic Images of Special Jordan Algebras

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