arXiv math/06084062006-08math.QA

Second homology groups and universal coverings of Steinberg Leibniz algebras of small characteristic

Qifen Jiang, Ran Shen, Yucai Su

备注：: Addition publication information
发表信息：: Comm. Algebra 37 (2009), no. 2, 548-566

英文摘要：

It is known that the second Leibniz homology group $HL_2(stl_n(R))$ of the Steinberg Leibniz algebra $stl_n(R)$ is trivial for $n\geq 5$. In this paper, we determine $HL_2(stl_n(R))$ explicitly (which are shown to be not necessarily trivial) for $n=3, 4$ without any assumption on the base ring.

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