In this paper we study cohomology and deformations of Jacobi-Jordan algebras. We develop their formal deformation theory. In particular, we introduce a method to construct a versal deformation for a… Click to show full abstract
In this paper we study cohomology and deformations of Jacobi-Jordan algebras. We develop their formal deformation theory. In particular, we introduce a method to construct a versal deformation for a given Jacobi-Jordan algebra, which can induce all deformations and is unique on the infinitesimal level. We construct formal 1-parameter deformations of Jacobi-Jordan algebras up to dimension 5 and versal deformations for 3-dimensional Jacobi-Jordan algebras.
Keywords:
jordan;
deformations jacobi;
jordan algebras;
jacobi jordan;
cohomology deformations
Journal Title: Communications in Algebra
Year Published: 2022
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Journal Title: Communications in Algebra
Year Published: 2022
Link to full text (if available)
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recommendations!