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Central extensions of Steinberg Lie superalgebras of small rank

Hongjia Chen·Yun Gao·Shikui Shang
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Abstract

It was shown by A.V.Mikhalev and I.A.Pinchuk in [MP] that the second homology group $H_2(\st)$ of the Steinberg Lie superalgebra $\st$ is trivial for $m+n\geq 5$. In this paper, we will work out $H_2(\st)$ explicitly for $m+n=3, 4$.

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Hongjia Chen, Yun Gao, Shikui Shang. 2006-06-06. Central extensions of Steinberg Lie superalgebras of small rank. https://doi.org/10.1080/00927870701649416

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