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Ext groups in the category of bimodules over a simple Leibniz algebra

2020/06/10 by Mugniery, Jean, Wagemann, Friedrich
#Algebraic Topology (math.AT) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2006.05705

Abstract

In this article, we generalize Loday and Pirashvili's [10] computation of the Ext-category of Leibniz bimodules for a simple Lie algebra to the case of a simple (non Lie) Leibniz algebra. Most of the arguments generalize easily, while the main new ingredient is the Feldvoss-Wagemann's cohomology vanishing theorem for semi-simple Leibniz algebras.

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