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- W4313463008 abstract "In this paper we use the cohomological approach to study abelian extensions and formal deformations of Hom-pre-Lie algebras. We show that diagonal abelian extensions of Hom-pre-Lie algebras can be classified by stable points in the second cohomology group under the action of an isomorphism. The infinitesimals of two equivalent formal deformations of a Hom-pre-Lie algebra A are in the same cohomological class in H2(A;A), and if H2(A;A) is trivial, then the Hom-pre-Lie algebra A is rigid." @default.
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- W4313463008 date "2023-01-02" @default.
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- W4313463008 title "Diagonal abelian extensions and morphism-fixed formal deformations of Hom-pre-Lie algebras" @default.
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- W4313463008 doi "https://doi.org/10.1080/00927872.2022.2155663" @default.
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