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- ItemWick polynomials in non-commutative probability: A group-theoretical approach(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2020) Ebrahimi-Fard, Kurusch; Patras, Frédéric; Tapia, Nikolas; Zambotti, LorenzoWick 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.