Gaussian Generating functionals on easy quantum groups
Quantum Algebra
2026-02-06 v2 Operator Algebras
Probability
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.
Cite
@article{arxiv.2412.00595,
title = {Gaussian Generating functionals on easy quantum groups},
author = {Uwe Franz and Amaury Freslon and Adam Skalski},
journal= {arXiv preprint arXiv:2412.00595},
year = {2026}
}
Comments
24 pages, v2 corrects a few minor typos. The final version of the paper will appear in Journal of Theoretical Probability