We develop the notions of multiplicative Lie conformal and Poisson vertex algebras, local and non-local, and their connections to the theory of integrable differential-difference Hamiltonian equations. We establish relations of these notions to q-deformed W-algebras and lattice Poisson algebras. We introduce the notion of Adler type pseudodifference operators and apply them to integrability of differential-difference Hamiltonian equations.
Local and Non-local Multiplicative Poisson Vertex Algebras and Differential-Difference Equations / De Sole, A.; Kac, V. G.; Valeri, D.; Wakimoto, M.. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 370:3(2019), pp. 1019-1068. [10.1007/s00220-019-03416-5]
Local and Non-local Multiplicative Poisson Vertex Algebras and Differential-Difference Equations
De Sole A.;Valeri D.;
2019
Abstract
We develop the notions of multiplicative Lie conformal and Poisson vertex algebras, local and non-local, and their connections to the theory of integrable differential-difference Hamiltonian equations. We establish relations of these notions to q-deformed W-algebras and lattice Poisson algebras. We introduce the notion of Adler type pseudodifference operators and apply them to integrability of differential-difference Hamiltonian equations.| File | Dimensione | Formato | |
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DeSole_preprint_Local-and-non-local-multiplicativ_2019.pdf
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