Noncommutative independence in the infinite braid and symmetric group

Rolf Gohm; Claus Michael Köstler

doi:10.4064/bc96-0-12

Noncommutative independence in the infinite braid and symmetric group

Rolf Gohm, Claus Michael Köstler

Department of Physics

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Abstract

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 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.

Original language	English
Pages (from-to)	193-206
Number of pages	14
Journal	Banach Center Publications
Volume	96
DOIs	https://doi.org/10.4064/bc96-0-12
Publication status	Published - 07 Nov 2012

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Quantum Control : Approach Based on Scattering Theory for Non-commutative Markov Chains
Gohm, R. (PI)
Engineering and Physical Sciences Research Council
01 Jun 2009 → 31 May 2012
Project: Externally funded research

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title = "Noncommutative independence in the infinite braid and symmetric group",

abstract = "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 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.",

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AB - 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 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.

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Noncommutative independence in the infinite braid and symmetric group

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Quantum Control : Approach Based on Scattering Theory for Non-commutative Markov Chains

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