Geodesic
Linearization of Poisson–Lie structures on the $2D$ Euclidean and $(1+1)$ Poincaré groups
Ural mathematical journal, Tome 7 (2021) no. 2, pp. 33-42 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper deals with linearization problem of Poisson-Lie structures on the $(1+1)$ Poincaré and $2D$ Euclidean groups. We construct the explicit form of linearizing coordinates of all these Poisson-Lie structures. For this, we calculate all Poisson-Lie structures on these two groups mentioned above, through the correspondence with Lie Bialgebra structures on their Lie algebras which we first determine.
Keywords: linearization.
Mots-clés : Poisson-Lie groups, Lie bialgebras 
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     author = {Bousselham Ganbouri and Mohamed Wadia Mansouri},
     title = {Linearization of {Poisson{\textendash}Lie} structures on the $2D$ {Euclidean} and $(1+1)$ {Poincar\'e} groups},
     journal = {Ural mathematical journal},
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     year = {2021},
     volume = {7},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UMJ_2021_7_2_a1/}
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Bousselham Ganbouri; Mohamed Wadia Mansouri. Linearization of Poisson–Lie structures on the $2D$ Euclidean and $(1+1)$ Poincaré groups. Ural mathematical journal, Tome 7 (2021) no. 2, pp. 33-42. http://geodesic.mathdoc.fr/item/UMJ_2021_7_2_a1/

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