Unimodular graded Poisson Hopf algebras

  title={Unimodular graded Poisson Hopf algebras},
  author={K. Brown and J. J. Zhang},
  journal={arXiv: Quantum Algebra},
  • K. Brown, J. J. Zhang
  • Published 2017
  • Mathematics
  • arXiv: Quantum Algebra
  • 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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