标题： 与代数结构相容的二次泊松括号 显示英文标题

标题： Quadratic Poisson brackets compatible with an algebra structure

摘要： 在具有双线性乘法的向量空间上研究了二次泊松括号。引入了与乘法相容的括号概念，并给出了这种相容性的有效准则。在相容括号中，描述了余边界括号的一个子类，并在多个例子中对这类括号进行了枚举。 显示英文摘要

摘要： Quadratic Poisson brackets on a vector space equipped with a bilinear multiplication are studied. A notion of a bracket compatible with the multiplication is introduced and an effective criterion of such compatibility is given. Among compatible brackets, a subclass of coboundary brackets is described, and such brackets are enumerated in a number of examples.