Multiplicative Characters and Gaussian Fluctuation Limits

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• ISSN: 1815-0659
• Main Author: Sato, Ryosuke
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212012
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Multiplicative Characters and Gaussian Fluctuation Limits. Ryosuke Sato. SIGMA 19 (2023), 072, 19 pages

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...