On the Gabriel quiver of extensions of Leibniz algebras

2023/08/09 by Bamogo, Ziwendtaoré Hermann, Wagemann, Friedrich
#17A32 #17B56 #Category Theory (math.CT) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2308.04810

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 Ext¹-groups.

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