GAUSSIAN FLUCTUATIONS OF REPRESENTATIONS OF WREATH PRODUCTS

DOI10.1142/S0219025706002524zbMath1106.43004arXivmath/0601089MaRDI QIDQ3421833

Piotr Śniady

Publication date: 8 February 2007

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601089

zbMATH Keywords

wreath productsfree probabilityasymptotic representation theory

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (1)

Limits of characters of wreath products \(\mathfrak S_n(T) \) of a compact group \(T\) with the symmetric groups and characters of \(\mathfrak S_\infty(T)\). II: From a viewpoint of probability theory

Cites Work

• Addition of certain non-commuting random variables
• A variational problem for random Young tableaux
• Representations of symmetric groups and free probability
• Asymptotics of characters of symmetric groups, genus expansion and free probability.
• Gaussian fluctuations of characters of symmetric groups and of Young diagrams

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