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

Jean Mugniery, Friedrich Wagemann

Published 2020-06-10Version 1

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.