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- W3204341956 abstract "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, and we exhibit their relation to non-abelian integrable differential-difference equations. A rigorous definition of double multiplicative Poisson vertex algebras in the non-local and rational cases is also provided." @default.
- W3204341956 created "2021-10-11" @default.
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- W3204341956 date "2022-09-13" @default.
- W3204341956 modified "2023-10-02" @default.
- W3204341956 title "Double Multiplicative Poisson Vertex Algebras" @default.
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- W3204341956 doi "https://doi.org/10.1093/imrn/rnac245" @default.
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