Multidimensional multiplicative Poisson vertex algebras
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917131631722496 |
|---|---|
| author | Yang, Pengfei Casati, Matteo |
| author_facet | Yang, Pengfei Casati, Matteo |
| contents | In this paper we introduce the notion of multidimensional multiplicative Poisson vertex algebra, the generalization of the notion of multiplicative Poisson vertex algebra to a difference algebra endowed with D commuting shifts. After showing the equivalence of this notion to the notion of Hamiltonian difference operator on a D-dimensional lattice, we characterize scalar local Hamiltonian difference operators up to the order (-2,2) and investigate the bi-Hamiltonian pairs they form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06704 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multidimensional multiplicative Poisson vertex algebras Yang, Pengfei Casati, Matteo Exactly Solvable and Integrable Systems In this paper we introduce the notion of multidimensional multiplicative Poisson vertex algebra, the generalization of the notion of multiplicative Poisson vertex algebra to a difference algebra endowed with D commuting shifts. After showing the equivalence of this notion to the notion of Hamiltonian difference operator on a D-dimensional lattice, we characterize scalar local Hamiltonian difference operators up to the order (-2,2) and investigate the bi-Hamiltonian pairs they form. |
| title | Multidimensional multiplicative Poisson vertex algebras |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2512.06704 |