Gaussian Generating functionals on easy quantum groups

Published 30 Nov 2024 in math.QA, math.OA, and math.PR | (2412.00595v2)

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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