On (co-)morphisms of $n$-Lie-Rinehart algebras with applications to Nambu-Poisson manifolds

Autor:	Bi, Yanhui, Chen, Zhixiong, Zhang, Tao
Rok vydání:	2023
Předmět:	Mathematics - Rings and Algebras Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	In this paper, we give a unified description of morphisms and comorphisms of $n$-Lie-Rinehart algebras. We show that these morphisms and comorphisms can be regarded as two subalgebras of the $\psi$-sum of $n$-Lie-Rinehart algebras. We also provide similar descriptions for morphisms and comorphisms of $n$-Lie algebroids. It is proved that the category of vector bundles with Nambu-Poisson structures of rank $n$ and the category of their dual bundles with $n$-Lie algebroid structures of rank $n$ are equivalent to each other. Comment: 23
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.10315 Zobrazit plný text záznamu View this record from Arxiv