De Sole, A., Kac, V. G., Valeri, D. and Wakimoto, M. (2019) Local and non-local multiplicative Poisson vertex algebras and differential-difference equations. Communications in Mathematical Physics, 370, pp. 1019-1068. (doi: 10.1007/s00220-019-03416-5)
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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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Valeri, Dr Daniele |
| Authors: | De Sole, A., Kac, V. G., Valeri, D., and Wakimoto, M. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Communications in Mathematical Physics |
| Publisher: | Springer |
| ISSN: | 0010-3616 |
| ISSN (Online): | 1432-0916 |
| Published Online: | 29 March 2019 |
| Copyright Holders: | Copyright © Springer-Verlag GmbH Germany, part of Springer Nature 2019 |
| First Published: | First published in Communications in Mathematical Physics 370:1019-1068 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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