Noncommutative independence in the infinite braid and symmetric group

• Autorzy: Rolf Gohm , Claus Köstler
• Języki publikacji: EN

Abstrakty

EN

This is an introductory paper about our recent merge of a noncommutative de Finetti type result with representations of the infinite braid and symmetric group which allows us to derive factorization properties from symmetries. We explain some of the main ideas of this approach and work out a constructive procedure to use in applications. Finally we illustrate the method by applying it to the theory of group characters.

Kategorie tematyczne

• 46L53: Noncommutative probability and statistics
• 60G09: Exchangeability
• 20C32: Representations of infinite symmetric groups
• 20F36: Braid groups; Artin groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 96
• Numer: 1
• Strony: 193-206

Daty

wydano

2011

Twórcy

autor

Rolf Gohm

• Institute of Mathematics and Physics, Aberystwyth University, Aberystwyth, SY23 3BZ, UK

autor

Claus Köstler

• Institute of Mathematics and Physics, Aberystwyth University, Aberystwyth, SY23 3BZ, UK

Identyfikatory

DOI

10.4064/bc96-0-12