The generalized Weyl Poisson algebras and their Poisson simplicity criterion
Rings and Algebras
2019-10-23 v1
Abstract
A new class of Poisson algebras, the class of {\em generalized Weyl Poisson algebras}, is introduced. It can be seen as Poisson algebra analogue of generalized Weyl algebras or as giving a Poisson structure to (certain) generalized Weyl algebras. A Poisson simplicity criterion is given for generalized Weyl Poisson algebras and explicit descriptions of the Poisson centre and the absolute Poisson centre are obtained. Many examples are considered.
Keywords
Cite
@article{arxiv.1902.00695,
title = {The generalized Weyl Poisson algebras and their Poisson simplicity criterion},
author = {V. V. Bavula},
journal= {arXiv preprint arXiv:1902.00695},
year = {2019}
}
Comments
12 pages