Friedrich Wagemann - Spectral sequences for commutative Lie algebras

cm:9507 - Communications in Mathematics, October 11, 2020, Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto) - https://doi.org/10.2478/cm-2020-0015
Spectral sequences for commutative Lie algebrasArticle

Authors: Friedrich Wagemann ORCID1

  • 1 Laboratoire de Mathématiques Jean Leray


We construct some spectral sequences as tools for computing commutative cohomology of commutative Lie algebras in characteristic 2. In a first part, we focus on a Hochschild-Serre-type spectral sequence, while in a second part we obtain spectral sequences which compare Chevalley--Eilenberg-, commutative- and Leibniz cohomology. These methods are illustrated by a few computations.

https://doi.org/10.2478/cm-2020-0015
Source: HAL:hal-03664995v1
Volume: Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto)
Published on: October 11, 2020
Imported on: May 11, 2022
Keywords: [MATH]Mathematics [math]
Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
Funding:
    Source : HAL
  • Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation; Funder: French National Research Agency (ANR); Code: ANR-11-LABX-0020

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