1. Spectral Sequences For Commutative Lie Algebras
- Author
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Friedrich Wagemann, Laboratoire de Mathématiques Jean Leray (LMJL), Centre National de la Recherche Scientifique (CNRS)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Université de Nantes (UN)-Université de Nantes (UN)
- Subjects
Pure mathematics ,Computation ,primary: 17b50 ,General Mathematics ,commutative lie algebra ,17b55 ,17a32 ,01 natural sciences ,Mathematics::Algebraic Topology ,17b56 ,leibniz cohomology ,Mathematics::K-Theory and Homology ,spectral sequence ,Lie algebra ,QA1-939 ,FOS: Mathematics ,Algebraic Topology (math.AT) ,Mathematics - Algebraic Topology ,0101 mathematics ,commutative cohomology ,[MATH]Mathematics [math] ,Commutative property ,Mathematics ,010102 general mathematics ,Construct (python library) ,Cohomology ,010101 applied mathematics ,[MATH.MATH-AT]Mathematics [math]/Algebraic Topology [math.AT] ,Spectral sequence ,chevalley-eilenberg cohomology ,Focus (optics) ,secondary: 17a30 - Abstract
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.
- Published
- 2019
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