English

Poisson cohomology of "book" Poisson structures

Symplectic Geometry 2026-03-19 v1 Differential Geometry

Abstract

We compute the Poisson cohomology of the linear Poisson structure dual to the n-dimensional "book" Lie algebra, defined by [e_0,e_i]=e_i, [e_i,e_j]=0, for i,j=1,...,n-1.

Keywords

Cite

@article{arxiv.2603.17277,
  title  = {Poisson cohomology of "book" Poisson structures},
  author = {Henrique Bursztyn and Hudson Lima},
  journal= {arXiv preprint arXiv:2603.17277},
  year   = {2026}
}

Comments

22 pages, 1 figure