Cancellation and skew cancellation for Poisson algebras
Rings and Algebras
2022-07-26 v2
Abstract
We study the Zariski cancellation problem for Poisson algebras in three variables. In particular, we prove those with Poisson bracket either being quadratic or derived from a Lie algebra are cancellative. We also use various Poisson algebra invariants, including the Poisson Makar-Limanov invariant, the divisor Poisson subalgebra, and the Poisson stratiform length, to study the skew cancellation problem for Poisson algebras.
Keywords
Cite
@article{arxiv.2108.11709,
title = {Cancellation and skew cancellation for Poisson algebras},
author = {Jason Gaddis and Xingting Wang and Daniel Yee},
journal= {arXiv preprint arXiv:2108.11709},
year = {2022}
}
Comments
Typos corrected and other minor changes throughout. To appear in Math Z