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Finite presentability of universal central extensions of sln(R)

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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… Click to show full 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 that a universal central extension is finitely presented if and only if the algebra R is finitely presented.

Keywords: universal central; central extensions; presentability universal; extensions sln; finite presentability

Journal Title: Journal of Algebra
Year Published: 2021

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