Cancellation and skew cancellation for Poisson algebras
| Autor: | Gaddis, Jason, Wang, Xingting, Yee, Daniel |
|---|---|
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Mathematische Zeitschrift, 2022, 301, 3503-3523 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00209-022-03026-3 |
| Popis: | 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. Comment: Typos corrected and other minor changes throughout. To appear in Math Z |
| Databáze: | arXiv |
| Externí odkaz: |
|