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EXT GROUPS IN THE CATEGORY OF BIMODULES OVER A SIMPLE LEIBNIZ ALGEBRA

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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https://hal.archives-ouvertes.fr/hal-02861691
Contributor : Friedrich Wagemann <>
Submitted on : Tuesday, June 9, 2020 - 10:28:31 AM
Last modification on : Thursday, June 11, 2020 - 4:29:24 AM

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  • HAL Id : hal-02861691, version 1
  • ARXIV : 2006.05705

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Jean Mugniery, Friedrich Wagemann. EXT GROUPS IN THE CATEGORY OF BIMODULES OVER A SIMPLE LEIBNIZ ALGEBRA. 2020. ⟨hal-02861691⟩

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