Ext groups in the category of bimodules over a simple Leibniz algebra
(2021) Journal of Pure and Applied Algebra — Vol. 225, n° 6, p. 106637 (2021)
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- Abstract
- In this article, we generalize Loday and Pirashvili's [11] 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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Mugniery, J., & Wagemann, F. (2021). Ext groups in the category of bimodules over a simple Leibniz algebra. Journal of Pure and Applied Algebra, 225(6), 106637. https://doi.org/10.1016/j.jpaa.2020.106637 (Original work published 2021)