Leibniz代数hnn扩展的操作方法

Q3 Mathematics Quasigroups and Related Systems Pub Date : 2022-03-11 DOI:10.56415/qrs.v30.08

Georg Klein, Chia Zargeh

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引用次数: 1

摘要

在各种李二代数中构造了李二代数的hnn扩展，并给出了李二代数的复制hnn扩展。然后，应用Gröbner-Shirshov基的方法，得到了可复制代数的线性基。作为hnn扩展的一个应用，我们证明了李二代数嵌入在它们的hnn扩展中。

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Operadic approach to HNN-extensions of Leibniz algebras

We construct HNN-extensions of Lie di-algebras in the variety of di-algebras and provide a presentation for the replicated HNN-extension of a Lie di-algebras. Then, by applying the method of Gröbner-Shirshov bases for replicated algebras, we obtain a linear basis. As an application of HNN-extensions, we prove that Lie di-algebras are embedded in their HNNextension.

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