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math.RT2006★ 18 cited
Upper bound on the characters of the symmetric groups for balanced Young diagrams and a generalized Frobenius formula
Amarpreet Rattan, Piotr Sniady
We study asymptotics of an irreducible representation of the symmetric group S_n corresponding to a balanced Young diagram λ(a Young diagram with at most C\sqrt{n} rows and columns…
math.RT2006
Gaussian fluctuations of representations of wreath products
Piotr Sniady
We study the asymptotics of the reducible representations of the wreath products G\wr S_q=G^q \rtimes S_q for large q, where G is a fixed finite group and S_q is the symmetric grou…