Geodesic
Remarks on Yangian-type algebras and double Poisson brackets
Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 4, pp. 75-88

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In a recent paper, one of the authors proposed a construction of associative algebras which share a number of properties of the Yangians of series A but are more massive. We show that this construction admits a generalization which reveals a direct connection with a large family of double Poisson brackets on free associative algebras, which was described by Pichereau and Van de Weyer (in 2008).
Keywords: centralizer construction, Yangians
Mots-clés : Poisson algebras, double Poisson brackets. 
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     title = {Remarks on {Yangian-type} algebras and double {Poisson} brackets},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/FAA_2023_57_4_a5/}
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G. I. Olshanski; N. A. Safonkin. Remarks on Yangian-type algebras and double Poisson brackets. Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 4, pp. 75-88. http://geodesic.mathdoc.fr/item/FAA_2023_57_4_a5/