Polynomial Poisson algebras : Gel'fand-Kirillov problem and Poisson spectra

We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we investigate a Poisson birational equivalence problem for polynomial Poisson algebras over a field of arbitrary characteristic. Namely, the quadratic Poisson Gel'fand-Kirillov problem asks whether t...

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Bibliographic Details
Main Author: Lecoutre, César
Other Authors: Launois, Stéphane
Published: University of Kent 2014
Subjects:
512
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.643514