De Finetti Theorems for the Unitary Dual Group

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2022
• Автори: Baraquin, Isabelle, Cébron, Guillaume, Franz, Uwe, Maassen, Laura, Weber, Moritz
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2022
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211721
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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

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...