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math.AC2021
Poisson catenarity in Poisson nilpotent algebras
K. R. Goodearl, S. Launois
We prove that for the iterated Poisson polynomial rings known as Poisson nilpotent algebras (or Poisson-CGL extensions), the Poisson prime spectrum is catenary, i.e., all saturated…
math.AC2018★ 13 cited
Cluster algebra structures on Poisson nilpotent algebras
K. R. Goodearl, M. T. Yakimov
Various coordinate rings of varieties appearing in the theory of Poisson Lie groups and Poisson homogeneous spaces belong to the large, axiomatically defined class of symmetric Poi…