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math.QA2023
Double Poisson brackets and involutive representation spaces
Grigori Olshanski, Nikita Safonkin
Let be an algebraically closed field of characteristic and be a finitely generated associative -algebra, in general noncommutative. One assigns to a sequ…
math.RT2023
Remarks on Yangian-type algebras and double Poisson brackets
Grigori Olshanski, Nikita Safonkin
This short note is an announcement of results. We continue the study of Yangian-type algebras initiated in the paper arXiv:2208.04809. These algebras share a number of properties o…