On Riemann-Poisson Lie groups
Brahim Alioune; Mohamed Boucetta; Ahmed Sid’Ahmed Lessiad
Archivum Mathematicum (2020)
- Volume: 056, Issue: 4, page 225-247
- ISSN: 0044-8753
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topAlioune, Brahim, Boucetta, Mohamed, and Sid’Ahmed Lessiad, Ahmed. "On Riemann-Poisson Lie groups." Archivum Mathematicum 056.4 (2020): 225-247. <http://eudml.org/doc/297069>.
@article{Alioune2020,
abstract = {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.},
author = {Alioune, Brahim, Boucetta, Mohamed, Sid’Ahmed Lessiad, Ahmed},
journal = {Archivum Mathematicum},
keywords = {Lie group; Poisson manifolds; Riemannian metric},
language = {eng},
number = {4},
pages = {225-247},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On Riemann-Poisson Lie groups},
url = {http://eudml.org/doc/297069},
volume = {056},
year = {2020},
}
TY - JOUR
AU - Alioune, Brahim
AU - Boucetta, Mohamed
AU - Sid’Ahmed Lessiad, Ahmed
TI - On Riemann-Poisson Lie groups
JO - Archivum Mathematicum
PY - 2020
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 056
IS - 4
SP - 225
EP - 247
AB - 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.
LA - eng
KW - Lie group; Poisson manifolds; Riemannian metric
UR - http://eudml.org/doc/297069
ER -
References
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