Asymptotics of Characters of Symmetric Groups Related to Skew Young Diagrams and Generalized Stanley-féray Character Formula
نویسنده
چکیده
We show that a generalization of Stanley-Féray character formula for characters of symmetric groups holds true for skew Young diagrams. This generalization is very useful for dealing with asymptotic questions; for example we use it to show that balanced skew Young diagrams have the asymptotic property of approximate factorization of characters and therefore the fluctuations of a randomly selected irreducible component are Gaussian. We also find a new proof of the estimates of the symmetric groups characters related to Thoma characters.
منابع مشابه
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