Ore extensions and Poisson algebras
Rings and Algebras
2012-12-18 v1 Quantum Algebra
Abstract
For a derivation d of a commutative Noetherian complex algebra A, a homeomorphism is established between the prime spectrum of the Ore extension A[z;d] and the Poisson prime spectrum of the polynomial algebra A[z] endowed with the Poisson bracket such that {A,A}=0 and {z,a}=d(a) for all a in A. Several illustrative examples are discussed including some where A is known to be d-simple.
Cite
@article{arxiv.1212.4063,
title = {Ore extensions and Poisson algebras},
author = {David A. Jordan},
journal= {arXiv preprint arXiv:1212.4063},
year = {2012}
}