Wick polynomials in non-commutative probability
Probability
2021-10-05 v4 Operator Algebras
Rings and Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.2001.03808,
title = {Wick polynomials in non-commutative probability},
author = {K. Ebrahimi-Fard and F. Patras and N. Tapia and L. Zambotti},
journal= {arXiv preprint arXiv:2001.03808},
year = {2021}
}