Year: 2020
Type: preprint
Abstract: In this paper we discuss finite presentability of the universal central extensions of Lie algebras ${\mathfrak{sl}_n(R)}$, where $n\geq 3$ 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.
Source: arXiv (Cornell University)
Authors: Zelmanov, Efim, Zhang, Zezhou
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G2692887700
OpenAlex ID: W3015529802