Noncommutative independence in the infinite braid and symmetric group
Copyright policy )Noncommutative independence in the infinite braid and symmetric group
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.
- Aberystwyth University United Kingdom
46L53, 20F36, 20C32, 60G09, Probability (math.PR), Mathematics - Operator Algebras, FOS: Mathematics, Group Theory (math.GR), Operator Algebras (math.OA), Mathematics - Group Theory, Mathematics - Probability
46L53, 20F36, 20C32, 60G09, Probability (math.PR), Mathematics - Operator Algebras, FOS: Mathematics, Group Theory (math.GR), Operator Algebras (math.OA), Mathematics - Group Theory, Mathematics - Probability
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!