Representations of Symmetric Groups and Free Probability
نویسندگان
چکیده
منابع مشابه
Free Probability and Representations of Large Symmetric Groups
We study the asymptotic behavior of the free cumulants (in the sense of free probability theory of Voiculescu) of Jucys–Murphy elements—or equivalently—of the transition measure associated with a Young diagram. We express these cumulants in terms of normalized characters of the appropriate representation of the symmetric group Sq. Our analysis considers the case when the Young diagrams rescaled...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1998
ISSN: 0001-8708
DOI: 10.1006/aima.1998.1745