Cohomology and Deformations of $n$-Lie algebra morphisms
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DOI: 10.1016/j.geomphys.2018.05.010
Abstract: Abstract The study of n -Lie algebras which are natural generalization of Lie algebras is motivated by Nambu Mechanics and recent developments in String Theory and M-branes. The purpose of this paper is to define… read more here.
Keywords: cohomology deformations; lie algebra; algebra morphisms; deformations lie ... See more keywords
On cohomology and deformations of Jacobi-Jordan algebras
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DOI: 10.1080/00927872.2023.2215872
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… read more here.
Keywords: jordan; deformations jacobi; jordan algebras; jacobi jordan ... See more keywords
Morphisms Cohomology and Deformations of Hom-algebras
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DOI: 10.1080/14029251.2018.1503433
Abstract: The purpose of this paper is to define cohomology complexes and study deformation theory of Hom-associative algebra morphisms and Hom-Lie algebra morphisms. We discuss infinitesimal deformations, equivalent deformations and obstructions. Moreover, we provide various examples. read more here.
Keywords: cohomology deformations; deformations hom; morphisms cohomology; hom algebras ... See more keywords