Central extensions of Steinberg Lie superalgebras of small rank

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 $m+n\ge 5$. In this paper, we will work out $H_2(\st)$ explicitly for $m+n=3,4$.

23 pages

Cited by in corpus (3)

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