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arXiv 2005-12-09 0 views

Universal coverings of Steinberg Lie algebras of small characteristic

Gao, Yun · Shang, Shikui

Original · EN

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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