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
HNN-extensions of Leibniz algebras
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2019.05.014
Abstract: Abstract In this paper we construct HNN-extensions of diassociative algebras and Leibniz algebras and prove that every Leibniz algebra embeds into any of its HNN-extensions. We also prove that every Leibniz algebra with at most… read more here.
Keywords: extensions leibniz; leibniz algebra; hnn extensions; leibniz algebras ... See more keywords