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arXiv · 2107.14205

On $\alpha$-type (equivariant) cohomology of Hom-pre-Lie algebras

Shuangjian Guo·Ripan Saha
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Abstract

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 by considering the structure map. We develop equivariant cohomology theory for a Hom-pre-Lie algebra equipped with a finite group action by formulating a proper notion of coefficients system for the equivariant cohomology. We also study the associated formal deformation theory for Hom-pre-Lie algebras in the equivariant context.

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Shuangjian Guo, Ripan Saha. 2021-07-29. On $\alpha$-type (equivariant) cohomology of Hom-pre-Lie algebras. https://arxiv.org/abs/2107.14205

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