Poisson cohomology of 3D Lie algebras

Douwe Hoekstra; Florian Zeiser

doi:10.1016/j.geomphys.2023.104862

Poisson cohomology of 3D Lie algebras

Douwe Hoekstra
, Florian Zeiser

extern

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Article number	104862
Journal	Journal of Geometry and Physics
Volume	191
DOIs	https://doi.org/10.1016/j.geomphys.2023.104862
Publication status	Published - Sept 2023
Externally published	Yes

Keywords

Poisson cohomology3-dimensional
Lie algebra
Lie algebra cohomology

Access to Document

10.1016/j.geomphys.2023.104862

Cite this

@article{24d11b3ab2944ea58ab57794188df4df,

title = "Poisson cohomology of 3D Lie algebras",

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.",

keywords = "Poisson cohomology3-dimensional, Lie algebra, Lie algebra cohomology",

author = "Douwe Hoekstra and Florian Zeiser",

year = "2023",

month = sep,

doi = "10.1016/j.geomphys.2023.104862",

language = "English",

volume = "191",

journal = "Journal of Geometry and Physics",

issn = "0393-0440",

publisher = "Elsevier BV",

}

TY - JOUR

T1 - Poisson cohomology of 3D Lie algebras

AU - Hoekstra, Douwe

AU - Zeiser, Florian

PY - 2023/9

Y1 - 2023/9

N2 - 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.

AB - 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.

KW - Poisson cohomology3-dimensional

KW - Lie algebra

KW - Lie algebra cohomology

UR - https://doi.org/10.1016/j.geomphys.2023.104862

U2 - 10.1016/j.geomphys.2023.104862

DO - 10.1016/j.geomphys.2023.104862

M3 - Article

SN - 0393-0440

VL - 191

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 104862

ER -

Poisson cohomology of 3D Lie algebras

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this