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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc96-0-12,
author = {Rolf Gohm and Claus K\"ostler},
title = {Noncommutative independence in the infinite braid and symmetric group},
journal = {Banach Center Publications},
volume = {95},
year = {2011},
pages = {193-206},
zbl = {1259.46054},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc96-0-12}
}
Rolf Gohm; Claus Köstler. Noncommutative independence in the infinite braid and symmetric group. Banach Center Publications, Tome 95 (2011) pp. 193-206. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc96-0-12/