Central extensions of Steinberg Lie superalgebras of small rank

Details Central extensions of Steinberg Lie superalgebras of small rank Central extensions of Steinberg Lie superalgebras of small rank

2006-06-06

arxiv.org/abs/math/0606119v2

Mathematics

Quantum Algebra

23 pages

Scientific paper

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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