Noncommutative independence in the infinite braid and symmetric group

DOI10.4064/bc96-0-12zbMath1259.46054arXiv1102.0813OpenAlexW2962947916MaRDI QIDQ2905548

Claus Köstler, Rolf Gohm

Publication date: 27 August 2012

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0813

zbMATH Keywords

charactersinfinite braid groupinfinite symmetric groupnoncommutative independencedistributional symmetries

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Noncommutative probability and statistics (46L53) Representations of infinite symmetric groups (20C32) Exchangeability for stochastic processes (60G09)

Related Items (6)

Markovianity and the Thompson monoid \(F^+\) ⋮ Yang-Baxter representations of the infinite symmetric group ⋮ De Finetti theorems for braided parafermions ⋮ A central limit theorem for star-generators of \({S}_{\infty }\), which relates to the law of a GUE matrix ⋮ De Finetti theorems for the unitary dual group ⋮ A central limit theorem for star-generators of S∞, which relates to traceless CCR-GUE matrices

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