Unimodular graded Poisson Hopf algebras
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.
 Publication:

arXiv eprints
 Pub Date:
 September 2017
 arXiv:
 arXiv:1709.01772
 Bibcode:
 2017arXiv170901772B
 Keywords:

 Mathematics  Quantum Algebra;
 17B63;
 16T05;
 16E65;
 53D17
 EPrint:
 14 pages