Grigori Olshanski, Nikita Safonkin, “Double Poisson brackets and involutive representation spaces”, Lett Math Phys, 114, № 1, 2024, 33
Hentosh Oksana E, Balinsky Alexander A, Prykarpatski Anatolij K, “Poisson structures on (non)associative noncommutative algebras and integrable Kontsevich type Hamiltonian systems”, Ann Math Phys, 3, № 1, 2020, 001
Maxime Fairon, “Double Quasi-Poisson Brackets: Fusion and New Examples”, Algebr Represent Theor, 24, № 4, 2021, 911
Maxime Fairon, Colin McCulloch, “Around Van den Bergh’s double brackets for different bimodule structures”, Communications in Algebra, 51, № 4, 2023, 1673
Orest Artemovych, Alexandr Balinsky, Anatolij Prykarpatski, “Hamiltonian operators and related differential-algebraic Balinsky-Novikov, Riemann and Leibniz type structures on nonassociative noncommutative algebras”, ПМГЦ, 12, № 4, 2019
G. I. Olshanski, N. A. Safonkin, “Remarks on Yangian-Type Algebras and Double Poisson Brackets”, Funct Anal Its Appl, 57, № 4, 2023, 326
Jean Avan, Eric Ragoucy, Vladimir Rubtsov, “Quantization and Dynamisation of Trace-Poisson Brackets”, Commun. Math. Phys., 341, № 1, 2016, 263
Alexander Odesskii, Vladimir Rubtsov, Vladimir Sokolov, “Parameter-dependent associative Yang–Baxter equations and Poisson brackets”, Int. J. Geom. Methods Mod. Phys., 11, № 09, 2014, 1460036
Mahouton Norbert Hounkonnou, Gbêvèwou Damien Houndedji, “Solutions of associative Yang–Baxter equation and D−equation in low dimensions and associated Frobenius algebras and Connes cocycles”, J. Algebra Appl., 17, № 01, 2018, 1850010
A Levin, M Olshanetsky, A Zotov, “Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation”, J. Phys. A: Math. Theor., 49, № 39, 2016, 395202