A ug 2 00 6 Second homology groups and universal coverings of Steinberg Leibniz algebras of small characteristic
نویسنده
چکیده
It is known that the second Leibniz homology group HL2(stln(R)) of the Steinberg Leibniz algebra stln(R) is trivial for n ≥ 5. In this paper, we determine HL2(stln(R)) explicitly (which are shown to be not necessarily trivial) for n = 3, 4 without any assumption on the base ring. §
منابع مشابه
Universal coverings of Steinberg Lie algebras of small characteristic
It is well-known that the second homology group H2(stn(R)) of the Steinberg Lie algebra stn(R) is trivial when n ≥ 5. In this paper, we will work out H2(stn(R)) explicitly for n = 3, 4 which are not necessarily trivial. Consequently, we obtained H2(sln(R)) for n = 3, 4. Introduction Steinberg Lie algebras stn(R) and/or their universal coverings have been studied by Bloch [Bl], Kassel-Loday [KL]...
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The second homology group H2(st(m,n,R)) of the Steinberg Lie superalgebra st(m,n,R)(m + n ≥ 5), which is trivial, has been studied by A.V.Mikhalev and I.A.Pinchuk in [MP]. In this paper, we will work out H2(st(m,n,R)) explicitly for m + n = 3, 4 which is also trivial when m + n = 3, but not necessarily trivial when m + n = 4. Introduction Steinberg Lie algebras stn(R) and/or their universal cov...
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