A note on Poisson derivations

Czechoslovak Mathematical Journal

Jiantao Li¹ 

关键词: Poisson algebra;    derivation;    Jacobian conjecture;   

DOI  :  10.21136/CMJ.2017.0574-16

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

  Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson brackets are used to solve many problems in affine algebraic geometry. In this note, we study Poisson derivations on the symplectic Poisson algebra, and give a connection between the Jacobian conjecture with derivations on the symplectic Poisson algebra.

【 授权许可】

Unknown