Grigori Olshanski, Nikita Safonkin, “Double Poisson brackets and involutive representation spaces”, Lett Math Phys, 114, no. 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, no. 1, 2020, 001
Maxime Fairon, “Double Quasi-Poisson Brackets: Fusion and New Examples”, Algebr Represent Theor, 24, no. 4, 2021, 911
Maxime Fairon, Colin McCulloch, “Around Van den Bergh’s double brackets for different bimodule structures”, Communications in Algebra, 51, no. 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”, 咸弥, 12, no. 4, 2019
G. I. Olshanski, N. A. Safonkin, “Remarks on Yangian-Type Algebras and Double Poisson Brackets”, Funct Anal Its Appl, 57, no. 4, 2023, 326
Jean Avan, Eric Ragoucy, Vladimir Rubtsov, “Quantization and Dynamisation of Trace-Poisson Brackets”, Commun. Math. Phys., 341, no. 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, no. 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, no. 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, no. 39, 2016, 395202