论文标题
血统的共同体谎言2-代数
Cohomology of hemistrict Lie 2-algebras
论文作者
论文摘要
我们研究了血统的表现，说明2个代数，并为其共同体提供了功能的构造。我们证明，两种注射式的倾向谎言的共同体学和半分布式的谎言的共同体学是从$ l $的偏度 - 符号化获得的2- algebra，这对Chevalley-eilenberg chevalley-eilenberg s lie algebra lie algebra $ l _ $ l _ _ {
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 $L_{\operatorname{Lie}}$.
