Ext groups in the category of bimodules over a simple Leibniz algebra
Algebraic Topology
2023-08-11 v4 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.2006.05705,
title = {Ext groups in the category of bimodules over a simple Leibniz algebra},
author = {Jean Mugniery and Friedrich Wagemann},
journal= {arXiv preprint arXiv:2006.05705},
year = {2023}
}