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Central extensions of Steinberg Lie superalgebras of small rank

Quantum Algebra 2020-11-18 v2 K-Theory and Homology

Abstract

It was shown by A.V.Mikhalev and I.A.Pinchuk in [MP] that the second homology group H2(\st)H_2(\st) of the Steinberg Lie superalgebra \st\st is trivial for m+n5m+n\geq 5. In this paper, we will work out H2(\st)H_2(\st) explicitly for m+n=3,4m+n=3, 4.

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Cite

@article{arxiv.math/0606119,
  title  = {Central extensions of Steinberg Lie superalgebras of small rank},
  author = {Hongjia Chen and Yun Gao and Shikui Shang},
  journal= {arXiv preprint arXiv:math/0606119},
  year   = {2020}
}

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23 pages