Spectral Sequences For Commutative Lie Algebras

Autor: Friedrich Wagemann
Přispěvatelé: 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), Université de Nantes (UN)-Université de Nantes (UN)
Rok vydání: 2019
Předmět:
Zdroj: Communications in Mathematics, Vol 28, Iss 2, Pp 123-137 (2020)
DOI: 10.48550/arxiv.1908.06764
Popis: 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.
Databáze: OpenAIRE