| Title:
|
The Wells map for abelian extensions of 3-Lie algebras (English) |
| Author:
|
Tan, Youjun |
| Author:
|
Xu, Senrong |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
69 |
| Issue:
|
4 |
| Year:
|
2019 |
| Pages:
|
1133-1164 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The Wells map relates automorphisms with cohomology in the setting of extensions of groups and Lie algebras. We construct the Wells map for some abelian extensions $0\rightarrow A\hookrightarrow L\stackrel {\pi }{\rightarrow } B\rightarrow 0$ of 3-Lie algebras to obtain obstruction classes in $H^1(B,A)$ for a pair of automorphisms in ${\rm Aut}(A)\times {\rm Aut}(B)$ to be inducible from an automorphism of $L$. Application to free nilpotent 3-Lie algebras is discussed. (English) |
| Keyword:
|
automorphisms of 3-Lie algebras |
| Keyword:
|
representations of 3-Lie algebras |
| Keyword:
|
abelian extensions |
| Keyword:
|
cohomology |
| Keyword:
|
free nilpotent 3-Lie algebras |
| MSC:
|
16E40 |
| MSC:
|
17A36 |
| MSC:
|
17A42 |
| idZBL:
|
07144882 |
| idMR:
|
MR4039627 |
| DOI:
|
10.21136/CMJ.2019.0098-18 |
| . |
| Date available:
|
2019-11-28T08:54:05Z |
| Last updated:
|
2022-01-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147921 |
| . |
| Reference:
|
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| . |
