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

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

2006-08-15

arxiv.org/abs/math/0608406v2

Comm. Algebra 37 (2009), no. 2, 548-566

Mathematics

Quantum Algebra

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Scientific paper

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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