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Gaussian Generating Functionals on Easy Quantum Groups

Year: 2025
Type: article
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.
DOI: 10.1007/s10959-025-01425-w
Institutions: Université de Franche-Comté, Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire de Mathématiques d'Orsay, Institute of Mathematics, Polish Academy of Sciences
Language: English
Open Access status: hybrid
Estimated APC paid: $3,290
OpenAlex ID: W4411330319
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Cites: 21
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Related to: 10