Local and Non-local Multiplicative Poisson Vertex Algebras and Differential-Difference Equations

被引：0
|
作者：
Alberto De Sole
Victor G. Kac
Daniele Valeri
Minoru Wakimoto
机构：
[1] Università La Sapienza,Dipartimento di Matematica
[2] MIT,Department of Mathematics
[3] University of Glasgow,School of Mathematics and Statistics
来源：
Communications in Mathematical Physics | 2019年 / 370卷
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摘要：
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.
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页码：1019 / 1068
页数：49
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