THE MALCEV POISSON SUPERALGEBRA OF THE FREE MALCEV SUPERALGEBRA ON ONE ODD GENERATOR

DOI10.1142/S0219498806001867zbMath1161.17325OpenAlexW2010196051MaRDI QIDQ5493881

Natalia Zhukavets, Ivan Pavlovic Shestakov

Publication date: 16 October 2006

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498806001867

zbMATH Keywords

superalgebraPoisson algebrafree alternative algebrafree Malcev algebra

Mathematics Subject Classification ID

Superalgebras (17A70) Mal'tsev rings and algebras (17D10) Free nonassociative algebras (17A50)

Related Items (7)

Speciality of Malcev superalgebras on one odd generator ⋮ Free generic Poisson fields and algebras ⋮ Universal Poisson Envelope for Binary-Lie Algebras ⋮ THE FREE ALTERNATIVE SUPERALGEBRA ON ONE ODD GENERATOR ⋮ Split Malcev algebras ⋮ Skew-symmetric identities of octonions ⋮ A base of the free alternative superalgebra on one odd generator

Cites Work

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• An explicit *-product on the cotangent bundle of a Lie group
• Abstract Jacobi and Poisson structures. Quantization and star-products
• The ``measure of non-Lieness for Mal'tsev algebras
• FREE MALCEV SUPERALGEBRA ON ONE ODD GENERATOR
• The Universal Multiplicative Envelope of the Free Malcev Superalgebra on One Odd Generator

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