Universal coverings of Steinberg Lie algebras of small characteristic

Details Universal coverings of Steinberg Lie algebras of small characteristic Universal coverings of Steinberg Lie algebras of small characteristic

2005-12-09

arxiv.org/abs/math/0512188v1

Mathematics

Quantum Algebra

22 pages

Scientific paper

It is well-known that the second homology group $H_2(\st)$ of the Steinberg
Lie algebra $\st$ is trivial when $n\geq 5$. In this paper, we will work out
$H_2(\st)$ explicitly for $n=3, 4$ which are not necessarily trivial.
Consequently, we obtained $H_2(sl_n(R))$ for $n=3, 4$.

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