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arXiv · 1709.01772

Unimodular graded Poisson Hopf algebras

Ken A. Brown·James J. Zhang
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Abstract

Let $A$ be a Poisson Hopf algebra over an algebraically closed field of characteristic zero. If $A$ is finitely generated and connected graded as an algebra and its Poisson bracket is homogeneous of degree $d \geq 0$, then $A$ is unimodular; that is, the modular derivation of $A$ is zero. This is a Poisson analogue of a recent result concerning Hopf algebras which are connected graded as algebras.

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Ken A. Brown, James J. Zhang. 2017-09-06. Unimodular graded Poisson Hopf algebras. https://arxiv.org/abs/1709.01772

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