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Equivariant formal deformations of Hom-pre-Lie algebras

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 نشر من قبل Ripan Saha
 تاريخ النشر 2021
  مجال البحث
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In this paper, we define a new cohomology theory for multiplicative Hom-pre-Lie algebras which controls deformations of Hom-pre-Lie algebra structure. This new cohomology is a natural one considering the structure map $alpha$. We show this new cohomology is deformation cohomology of the Hom-pre-Lie algebra. We also develop cohomology and the associated deformation theory for Hom-pre-Lie algebras in the equivariant context.



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