Wick polynomials in noncommutative probability: a group-theoretical approach

Author:

Ebrahimi-Fard Kurusch,Patras Frédéric,Tapia Nikolas,Zambotti Lorenzo

Abstract

Abstract 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.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

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