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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212012 |
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| 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 |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862551868980330496 |
|---|---|
| author | Sato, Ryosuke |
| author_facet | Sato, Ryosuke |
| citation_txt | Multiplicative Characters and Gaussian Fluctuation Limits. Ryosuke Sato. SIGMA 19 (2023), 072, 19 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2026-03-13T04:46:16Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212012 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T04:46:16Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sato, Ryosuke 2026-01-22T09:17:42Z 2023 Multiplicative Characters and Gaussian Fluctuation Limits. Ryosuke Sato. SIGMA 19 (2023), 072, 19 pages 1815-0659 2020 Mathematics Subject Classification: 17B37; 22D25; 22E66; 46L53; 46L67; 60F05 arXiv:2210.06024 https://nasplib.isofts.kiev.ua/handle/123456789/212012 https://doi.org/10.3842/SIGMA.2023.072 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. The author gratefully acknowledges comments from Professor Makoto Katori at the early stage of this work. The author is grateful to Professor Yoshimichi Ueda for the useful discussion and his comments on the draft of this paper. Finally, the author gratefully thanks the referees for their kind reading and comments. This work was supported by JSPS Research Fellowship for Young Scientists PD (KAKENHI Grand Number 22J00573). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Multiplicative Characters and Gaussian Fluctuation Limits Article published earlier |
| spellingShingle | Multiplicative Characters and Gaussian Fluctuation Limits Sato, Ryosuke |
| title | Multiplicative Characters and Gaussian Fluctuation Limits |
| title_full | Multiplicative Characters and Gaussian Fluctuation Limits |
| title_fullStr | Multiplicative Characters and Gaussian Fluctuation Limits |
| title_full_unstemmed | Multiplicative Characters and Gaussian Fluctuation Limits |
| title_short | Multiplicative Characters and Gaussian Fluctuation Limits |
| title_sort | multiplicative characters and gaussian fluctuation limits |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212012 |
| work_keys_str_mv | AT satoryosuke multiplicativecharactersandgaussianfluctuationlimits |