De Finetti Theorems for the Unitary Dual Group

We prove several de Finetti theorems for the unitary dual group, also called the Brown algebra. Firstly, we provide a finite de Finetti theorem characterizing R-diagonal elements with an identical distribution. This is surprising, since it applies to finite sequences in contrast to the de Finetti th...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2022
Main Authors: Baraquin, Isabelle, Cébron, Guillaume, Franz, Uwe, Maassen, Laura, Weber, Moritz
Format: Article
Language:English
Published: Інститут математики НАН України 2022
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211721
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:De Finetti Theorems for the Unitary Dual Group. Isabelle Baraquin, Guillaume Cébron, Uwe Franz, Laura Maassen and Moritz Weber. SIGMA 18 (2022), 067, 29 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine