Wick polynomials in noncommutative probability: a group-theoretical approach - Archive ouverte HAL
Article Dans Une Revue Canadian Journal of Mathematics = Journal Canadien de Mathématiques Année : 2022

Wick polynomials in noncommutative probability: a group-theoretical approach

Résumé

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.

Dates et versions

hal-02438241 , version 1 (14-01-2020)

Identifiants

Citer

K. Ebrahimi-Fard, F. Patras, Nikolas Tapia, Lorenzo Zambotti. Wick polynomials in noncommutative probability: a group-theoretical approach. Canadian Journal of Mathematics = Journal Canadien de Mathématiques, In press, 74 (6), pp.1673 - 1699. ⟨10.4153/S0008414X21000407⟩. ⟨hal-02438241⟩
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