Wick polynomials and Wick products are studied in the context of noncommutative 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.

中文翻译：

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非交换概率中的灯芯多项式：一种群论方法

Wick 多项式和 Wick 乘积是在非交换概率论的背景下研究的。结果表明，自由、布尔和条件自由的 Wick 多项式可以通过字符组对特定 Hopf 代数的作用来定义和关联。这些结果概括了我们之前在经典概率论中对累积量和 Wick 积的 Hopf 代数方法的发展。