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arXiv · 2308.13325

Remarks on Yangian-type algebras and double Poisson brackets

Grigori Olshanski·Nikita Safonkin
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Abstract

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 of the Yangians of type A but are more massive. We refine and substantially enlarge the construction of that paper. A direct link with the class of linear double Poisson brackets on the free associative algebras (Pichereau and Van de Weyer, arXiv:math/0701837) is also established.

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Grigori Olshanski, Nikita Safonkin. 2023-08-25. Remarks on Yangian-type algebras and double Poisson brackets. https://arxiv.org/abs/2308.13325

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