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Universal coverings of Steinberg Lie algebras of small characteristic

Yun Gao, Shikui Shang

math.QAarXiv:math/0512188

Abstract

It is well-known that the second homology group H2() of the Steinberg Lie algebra is trivial when n≥ 5. In this paper, we will work out H2() explicitly for n=3, 4 which are not necessarily trivial. Consequently, we obtained H2(sln(R)) for n=3, 4.

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