论文标题
非共同概率中的芯多项式
Wick polynomials in non-commutative probability
论文作者
论文摘要
在非共同概率理论的背景下，研究了Wick多项式和Wick产品。结果表明，可以通过特定的HOPF代数的角色组的作用来定义和相关的自由，布尔值和有条件的宽度多项式。这些结果概括了我们先前对经典概率理论中累积和wick产物的HOPF代数方法的发展。
Wick polynomials and Wick products are studied in the context of non-commutative probability theory. It is shown that free, boolean and conditionally free Wick polynomials can be defined and related through the action of the group of characters over a particular Hopf algebra. These results generalize our previous developments of a Hopf algebraic approach to cumulants and Wick products in classical probability theory.
