Noncommutative independence in the infinite braid and symmetric group

Rolf Gohm; Claus Köstler

Banach Center Publications (2011)

  • Volume: 96, Issue: 1, page 193-206
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Rolf Gohm, and Claus Köstler. "Noncommutative independence in the infinite braid and symmetric group." Banach Center Publications 96.1 (2011): 193-206. <http://eudml.org/doc/282158>.

@article{RolfGohm2011,
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 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.},
author = {Rolf Gohm, Claus Köstler},
journal = {Banach Center Publications},
keywords = {distributional symmetries; noncommutative independence; infinite braid group; infinite symmetric group; characters},
language = {eng},
number = {1},
pages = {193-206},
title = {Noncommutative independence in the infinite braid and symmetric group},
url = {http://eudml.org/doc/282158},
volume = {96},
year = {2011},
}

TY - JOUR
AU - Rolf Gohm
AU - Claus Köstler
TI - Noncommutative independence in the infinite braid and symmetric group
JO - Banach Center Publications
PY - 2011
VL - 96
IS - 1
SP - 193
EP - 206
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 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.
LA - eng
KW - distributional symmetries; noncommutative independence; infinite braid group; infinite symmetric group; characters
UR - http://eudml.org/doc/282158
ER -

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