Finite presentability of universal central extensions of \mathfraksl_n

2020/04/11 by Efim Zelmanov, Zelmanov, Efim, Zezhou Zhang +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #17A50 #17B60 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Sphingolipid Metabolism and Signaling

paper · pdf · doi:10.48550/arxiv.2004.05292

openalex publication_date 2020/04/11 · openalex created_date 2020/04/17 · openalex updated_date 2026/08/04

Abstract

In this paper we discuss finite presentability of the universal central extensions of Lie algebras \mathfraksl_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.

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