Spectral sequences for commutative Lie algebras

Friedrich Wagemann

Communications in Mathematics (2020)

  • Volume: 28, Issue: 2, page 123-137
  • ISSN: 1804-1388

Abstract

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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.

How to cite

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Wagemann, Friedrich. "Spectral sequences for commutative Lie algebras." Communications in Mathematics 28.2 (2020): 123-137. <http://eudml.org/doc/297248>.

@article{Wagemann2020,
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.},
author = {Wagemann, Friedrich},
journal = {Communications in Mathematics},
keywords = {Leibniz cohomology; Chevalley-Eilenberg cohomology; spectral sequence; commutative Lie algebra; commutative cohomology},
language = {eng},
number = {2},
pages = {123-137},
publisher = {University of Ostrava},
title = {Spectral sequences for commutative Lie algebras},
url = {http://eudml.org/doc/297248},
volume = {28},
year = {2020},
}

TY - JOUR
AU - Wagemann, Friedrich
TI - Spectral sequences for commutative Lie algebras
JO - Communications in Mathematics
PY - 2020
PB - University of Ostrava
VL - 28
IS - 2
SP - 123
EP - 137
AB - 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.
LA - eng
KW - Leibniz cohomology; Chevalley-Eilenberg cohomology; spectral sequence; commutative Lie algebra; commutative cohomology
UR - http://eudml.org/doc/297248
ER -

References

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