Work

Batalin-Vilkovisky structures on the cohomologies of tensor Poisson algebras

Year: 2025

Type: article

Abstract: It has been proved that the Poisson cohomology ring of a Poisson algebra has a Batalin-Vilkovisky algebra structure iff the Poisson algebra is pseudo-unimodular. In this paper, it is proved that the tensor algebra of two pseudo-unimodular Poisson algebras is also pseudo-unimodular, thus its Poisson cohomology ring is still a Batalin-Vilkovisky algebra. Furthermore, This Batalin-Vilkovisky algebra is isomorphic to the tensor Batalin-Vilkovisky algebra of the respective Poisson cohomology rings of the two pseudo-unimodular Poisson algebras.

Source: Filomat

DOI: 10.2298/fil2509913l

Authors: J. Luo, S.-Q. Wang

Institutions: Shanghai Normal University, East China University of Science and Technology

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Awards: G4155193557, G7822308192