论文标题
定义关系和gröbner-泊松代数的基地，如形模块
Defining relations and Gröbner--Shirshov bases of Poisson algebras as of conformal modules
论文作者
论文摘要
我们研究泊松代数与谎言形式代数的表示之间的关系。我们建立了一个在模块上的gröbner-shirshov基础上计算的设置。结果，我们获得了在泊松代数中计算gröbner--shirshov基础的设置。
We study the relation between Poisson algebras and representations of Lie conformal algebras. We establish a setting for the calculation of a Gröbner--Shirshov basis in a module over an associative conformal algebra and apply this technique to Poisson algebras considered as conformal modules over appropriate associative envelopes of current Lie conformal algebras. As a result, we obtain a setting for the calculation of a Gröbner--Shirshov basis in a Poisson algebra.
