Universal Central Extensions of Leibniz Superalgebras Over Superdialgebras
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DOI: 10.1007/s00009-017-0842-9
Abstract: We complete the problem of finding the universal central extension in the category of Leibniz superalgebras of $$\mathfrak {sl}(m, n, D)$$sl(m,n,D) when $$m+n \ge 3$$m+n≥3 and D is a superdialgebra, solving, in particular, the problem… read more here.
Keywords: leibniz superalgebras; superalgebras superdialgebras; central extensions; universal central ... See more keywords
Finite presentability of universal central extensions of sln(R)
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DOI: 10.1016/j.jalgebra.2020.09.016
Abstract: Abstract In this paper we discuss finite presentability of the universal central extensions of Lie algebras sl n ( R ) , where n ≥ 3 and R is a unital associative k-algebra. We show… read more here.
Keywords: universal central; central extensions; presentability universal; extensions sln ... See more keywords
Universal central extensions of current Lie superalgebras
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DOI: 10.1016/j.jpaa.2019.106205
Abstract: Abstract We identify the universal central extension of g = A ⊗ k , where k is a finite dimensional perfect Lie superalgebra equipped with a nondegenerate homogeneous invariant supersymmetric bilinear form κ which is… read more here.
Keywords: lie superalgebras; universal central; central extensions; lie ... See more keywords