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.AT2020
Transgression maps for crossed modules of groupoids
Xiongwei Cai
Given a crossed module of groupoids , we construct (1) a natural homomorphism from the product groupoid to the cro…