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arXiv · 2412.00595

Gaussian Generating functionals on easy quantum groups

Uwe Franz·Amaury Freslon·Adam Skalski
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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.

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BibTeXRIS

Uwe Franz, Amaury Freslon, Adam Skalski. 2024-11-30. Gaussian Generating functionals on easy quantum groups. https://doi.org/10.1007/s10959-025-01425-w

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