Wick polynomials in non-commutative probability: A group-theoretical approach

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.

URI

https://oa.tib.eu/renate/handle/123456789/9327
https://doi.org/10.34657/8365

Citation

Ebrahimi-Fard, K., Patras, F., Tapia, N., & Zambotti, L. (2020). Wick polynomials in non-commutative probability: A group-theoretical approach (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik. https://doi.org//10.20347/WIAS.PREPRINT.2677

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Mathematik
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