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<p>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.</p>

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Gaussian Generating Functionals on Easy Quantum Groups

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月16日

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  • Uwe Franz,
  • Amaury Freslon,
  • Adam Skalski

摘要

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.