Local and Non-local Multiplicative Poisson Vertex Algebras and Differential-Difference Equations
01 Pubblicazione su rivista
De Sole A., Kac V. G., Valeri D., Wakimoto M.
ISSN: 0010-3616
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.