Gaussian Generating functionals on easy quantum groups

Fuente: arXiv
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Auteurs principaux: Franz, Uwe, Freslon, Amaury, Skalski, Adam
Format: Preprint
Publié: 2024
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author Franz, Uwe
Freslon, Amaury
Skalski, Adam
author_facet Franz, Uwe
Freslon, Amaury
Skalski, Adam
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2412_00595
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gaussian Generating functionals on easy quantum groups
Franz, Uwe
Freslon, Amaury
Skalski, Adam
Quantum Algebra
Operator Algebras
Probability
46L53, 81R50
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.
title Gaussian Generating functionals on easy quantum groups
topic Quantum Algebra
Operator Algebras
Probability
46L53, 81R50
url https://arxiv.org/abs/2412.00595