2 papers
math.RA2020
Cohomology of hemistrict Lie 2-algebras
Xiongwei Cai, Zhangju Liu, Maosong Xiang
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-alg…
math.QA2018
Kapranov's construction of sh Leibniz algebras
Zhuo Chen, Zhangju Liu, Maosong Xiang
Motivated by Kapranov's discovery of an sh Lie algebra structure on the tangent complex of a Kähler manifold and Chen-Stiénon-Xu's construction of sh Leibniz algebras associated wi…