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MR2009836 60F05 (05E10 20C35)
Hora, Akihito A noncommutative version of Kerov's Gaussian limit for the Plancherel measure of the symmetric group. Asymptotic combinatorics with applications to mathematical physics (St. Petersburg, 2001), 77–88, Lecture Notes in Math., 1815, Springer, Berlin, 2003.
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