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Universal coverings of Steinberg Lie algebras of small characteristic

Yun Gao·Shikui Shang
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Abstract

It is well-known that the second homology group $H_2(\st)$ of the Steinberg Lie algebra $\st$ is trivial when $n\geq 5$. In this paper, we will work out $H_2(\st)$ explicitly for $n=3, 4$ which are not necessarily trivial. Consequently, we obtained $H_2(sl_n(R))$ for $n=3, 4$.

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Yun Gao, Shikui Shang. 2005-12-09. Universal coverings of Steinberg Lie algebras of small characteristic. https://arxiv.org/abs/math/0512188

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