paper

Poisson cohomology of 3D Lie algebras

arXiv:2211.04122 · doi:10.1016/j.geomphys.2023.104862

Abstract

We compute the Poisson cohomology associated with several three dimensional Lie algebras. Together with existing results and the classification of three dimensional Lie algebras, this provides the Poisson cohomology of all linear Poisson structures in dimension 3.

37 pages, 8 figures. Correction of the degree 1 representative in Theorem 2.1 and the subsequent discussion

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