| Title:
|
On Riemann-Poisson Lie groups (English) |
| Author:
|
Alioune, Brahim |
| Author:
|
Boucetta, Mohamed |
| Author:
|
Sid’Ahmed Lessiad, Ahmed |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
56 |
| Issue:
|
4 |
| Year:
|
2020 |
| Pages:
|
225-247 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A Riemann-Poisson Lie group is a Lie group endowed with a left invariant Riemannian metric and a left invariant Poisson tensor which are compatible in the sense introduced in [4]. We study these Lie groups and we give a characterization of their Lie algebras. We give also a way of building these Lie algebras and we give the list of such Lie algebras up to dimension 5. (English) |
| Keyword:
|
Lie group |
| Keyword:
|
Poisson manifolds |
| Keyword:
|
Riemannian metric |
| MSC:
|
22E05 |
| MSC:
|
53A15 |
| MSC:
|
53D17 |
| idZBL:
|
Zbl 07285962 |
| idMR:
|
MR4173076 |
| DOI:
|
10.5817/AM2020-4-225 |
| . |
| Date available:
|
2020-10-30T16:41:02Z |
| Last updated:
|
2021-02-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148390 |
| . |
| 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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| Reference:
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| Reference:
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| Reference:
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| . |
