Gaussian Generating Functionals on Easy Quantum Groups
Abstract We describe all Gaussian generating functionals on several easy quantum groups given by non-crossing partitions. This includes in particular the free unitary, orthogonal and symplectic quantum groups. We further characterize central Gaussian generating functionals and describe a centralization procedure yielding interesting (non-Gaussian) generating functionals.
Authors
- Uwe Franz (ORCID: https://orcid.org/0000-0001-8586-8025)
- Amaury Freslon (ORCID: https://orcid.org/0000-0002-1499-5374)
- Adam Skalski (ORCID: https://orcid.org/0000-0003-1661-8369)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université Paris-Saclay (FR)
- Laboratoire de Mathématiques d'Orsay (FR)
- Université de Franche-Comté (FR)
- Polish Academy of Sciences (PL)
Publication Details
- Journal
- Journal of Theoretical Probability
- Published
- 2025-06-16
- DOI
- https://doi.org/10.1007/s10959-025-01425-w
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Narodowe Centrum Nauki
- Engineering and Physical Sciences Research Council
- Division of Mathematical Sciences