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Central extensions of Steinberg Lie superalgebras of small rank

Hongjia Chen, Yun Gao, Shikui Shang

math.QAarXiv:math/0606119

Abstract

It was shown by A.V.Mikhalev and I.A.Pinchuk in [MP] that the second homology group H2() of the Steinberg Lie superalgebra is trivial for m+n≥ 5. In this paper, we will work out H2() explicitly for m+n=3, 4.

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