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 …

Let $ P=\Bbbk [x1, x2, x3] $ be a unimodular quadratic Poisson algebra and let $ G $ be a
finite subgroup of the graded Poisson automorphism group of $ P $. In this paper, we prove …

We introduce a Poisson version of the graded twist of a graded associative algebra and
prove that every graded Poisson structure on a connected graded polynomial ring …

We discuss Poisson structures on a weighted polynomial algebra $ A:=\Bbbk [x, y, z] $
defined by a homogeneous element $\Omega\in A $, called a potential. We start with …

arXiv:2304.05914v2 [math.RA] 15 Sep 2023 Page 1 arXiv:2304.05914v2 [math.RA] 15 Sep
2023 A SURVEY ON ZARISKI CANCELLATION PROBLEMS FOR NONCOMMUTATIVE AND …

Let $ P=\Bbbk [x_1, x_2, x_3] $ be a unimodular quadratic Poisson algebra, with its Poisson
bracket written as $\{x_i, x_j\}=\displaystyle {\sum_ {k, l} c_ {i, j}^{k, l} x_kx_l} $, $1\leq i< j\leq …

Contemporary Mathematics Volume 801, 2024 Page 152 Contemporary Mathematics Volume
801, 2024 https://doi. org/10.1090/conm/801/16085 A survey on Zariski cancellation problems …

Abstract The Shephard-Todd-Chevalley Theorem and the Watanabe Theorem are among
the earliest results addressing the homological properties of invariant subalgebras. Initially …

[2312.00958] Valuation method for Nambu-Poisson algebras Skip to main content Cornell
University We gratefully acknowledge support from the Simons Foundation, member institutions …