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arXiv · 2308.04810

On the Gabriel quiver of extensions of Leibniz algebras

Ziwendtaoré Hermann Bamogo·Friedrich Wagemann
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Abstract

We compute the Gabriel quiver of simple objects in the category of bimodules over a simple Leibniz algebra and over the trivial $1$-dimensional Leibniz algebra. Vertices of the quiver are the classes of simple objects, arrows are given by the dimensions of Ext$^1$-groups.

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Ziwendtaoré Hermann Bamogo, Friedrich Wagemann. 2023-08-09. On the Gabriel quiver of extensions of Leibniz algebras. https://arxiv.org/abs/2308.04810

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