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Multiplicative Characters and Gaussian Fluctuation Limits
Symmetry, integrability and geometry: methods and applications, Tome 19 (2023) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: asymptotic representation theory, quantum groups, inductive limits
Mots-clés : quasi-local algebras. 
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     author = {Ryosuke Sato},
     title = {Multiplicative {Characters} and {Gaussian} {Fluctuation} {Limits}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a71/}
}
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Ryosuke Sato. Multiplicative Characters and Gaussian Fluctuation Limits. Symmetry, integrability and geometry: methods and applications, Tome 19 (2023). http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a71/

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