Multiplicative Characters and Gaussian Fluctuation Limits

It is known that extreme characters of several inductive limits of compact groups exhibit multiplicativity in a certain sense. In the paper, we formulate such multiplicativity for inductive limit quantum groups and provide explicit examples of multiplicative characters in the case of quantum unitary...

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Бібліографічні деталі
Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2023
Автор: Sato, Ryosuke
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2023
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/212012
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Multiplicative Characters and Gaussian Fluctuation Limits. Ryosuke Sato. SIGMA 19 (2023), 072, 19 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
Опис
Резюме:It is known that extreme characters of several inductive limits of compact groups exhibit multiplicativity in a certain sense. In the paper, we formulate such multiplicativity for inductive limit quantum groups and provide explicit examples of multiplicative characters in the case of quantum unitary groups. Furthermore, we show a Gaussian fluctuation limit theorem using this concept of multiplicativity.
ISSN:1815-0659