# Double Multiplicative Poisson Vertex Algebras

@inproceedings{Fairon2021DoubleMP, title={Double Multiplicative Poisson Vertex Algebras}, author={Maxime Fairon and Daniele Valeri}, year={2021} }

We develop the theory of double multiplicative Poisson vertex algebras. These structures, defined at the level of associative algebras, are shown to be such that they induce a classical structure of multiplicative Poisson vertex algebra on the corresponding representation spaces. Moreover, we prove that they are in one-to-one correspondence with local lattice double Poisson algebras, a new important class among Van den Bergh’s double Poisson algebras. We derive several classification results…

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