1 citations · 2 across the 5 of their papers we have counts for
5 papers
The standard cohomology of regular Courant algebroids
Xiongwei Cai, Zhuo Chen, Maosong Xiang
For any regular Courant algebroid over a smooth manifold with characteristic distribution and ample Lie algebroid , we prove that there exists a canonical homologi…
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…
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…
Derived brackets for fat Leibniz algebras
Xiongwei Cai, Zhangju Liu
Given a Leibniz algebra L with left center Z, we work on C(L,Z,S(Z)), the Z-standard complex of L with coefficients in S(Z). We construct the derived bracket for a fat Leibniz alge…
H-standard cohomology for Courant-Dorfman algebras and Leibniz algebras
Xiongwei Cai
We introduce the notion of H-standard cohomology for Courant-Dorfman algebras and Leibniz algebras, by generalizing Roytenberg's construction. Then we generalize a theorem of Ginot…