| Title:
|
Spectral sequences for commutative Lie algebras (English) |
| Author:
|
Wagemann, Friedrich |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 (print) |
| ISSN:
|
2336-1298 (online) |
| Volume:
|
28 |
| Issue:
|
2 |
| Year:
|
2020 |
| Pages:
|
123-137 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Leibniz cohomology |
| Keyword:
|
Chevalley-Eilenberg cohomology |
| Keyword:
|
spectral sequence |
| Keyword:
|
commutative Lie algebra |
| Keyword:
|
commutative cohomology |
| MSC:
|
17A30 |
| MSC:
|
17A32 |
| MSC:
|
17B50 |
| MSC:
|
17B55 |
| MSC:
|
17B56 |
| idZBL:
|
Zbl 07300185 |
| idMR:
|
MR4162925 |
| . |
| Date available:
|
2021-03-03T08:42:53Z |
| Last updated:
|
2021-03-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148698 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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