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arXiv · 2003.03553

Cohomology of hemistrict Lie 2-algebras

Xiongwei Cai·Zhangju Liu·Maosong Xiang
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Abstract

We study representations of hemistrict Lie 2-algebras and give a functorial construction of their cohomology. We prove that both the cohomology of an injective hemistrict Lie 2-algebra $L$ and the cohomology of the semistrict Lie 2-algebra obtained from skew-symmetrization of $L$ are isomorphic to the Chevalley-Eilenberg cohomology of the induced Lie algebra $L_{\operatorname{Lie}}$.

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Xiongwei Cai, Zhangju Liu, Maosong Xiang. 2020-03-07. Cohomology of hemistrict Lie 2-algebras. https://doi.org/10.1080/00927872.2020.1737869

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