The Poisson cohomology of \mathfraksl₂^*(ℝ)

2019/11/26 by Marcut, Ioan, Zeiser, Florian
#53D17 #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1911.11732

Abstract

We compute the smooth Poisson cohomology of the linear Poisson structure associated with the Lie algebra \mathfraksl₂^*(ℝ).

Related

• The Poisson linearization problem for \mathfraksl₂(ℂ). Part I: Poisson cohomology
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• The Poisson linearization problem for \mathfraksl₂(ℂ). Part II: The Nash-Moser method