Finite presentability of universal central extensions of ${\mathfrak{sl}_n}$ , II

preprint2020arXivOpen access

In this note we connect finite presentability of a Jordan algebra to finite presentability of its Tits-Kantor-Koecher algebra. Through this we complete our discussion of finite presentability of universal central extensions of ${\mathfrak{sl}_n(A)}$ , $A$ a $k$ -algebra, initiated in our previous paper, and answer a question raised by Shestakov-Zelmanov in the positive.

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Finite presentability of universal central extensions of ${\mathfrak{sl}_n}$ , II

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Finite presentability of universal central extensions of sln{\mathfrak{sl}_n}sln​, II

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Finite presentability of universal central extensions of ${\mathfrak{sl}_n}$ , II