关于群的代数上同调
On the conjectural cohomology for groups
摘要：
本文的目的是给出与J. L.洛迪我们证明了架上同调的性质非常接近推测的莱布尼茨上同调的预期性质。特别地，我们证明了架上同调上的分次树状代数结构的存在性，并构造了一个从群上同调到架上同调的分次结合代数射，它是1次单射的。
英文摘要：
The goal of this paper is to present results which are consistent with conjectures about the Leibniz (co)homology for discrete groups stated by J. L. Loday. We show that rack cohomology has properties very close to the properties expected for the conjectural Leibniz cohomology. In particular, we prove the existence of a graded dendriform algebra structure on rack cohomology, and we construct a graded associative algebra morphism from group cohomology to rack cohomology which is injective in degree 1.
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