Asymptotic of the largest and the typical dimensions of irreducible representations of a symmetric group

Author:

Vershik A. M.,Kerov S. V.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference19 articles.

1. R. M. Baer and P. Brock, "Natural sorting over permutation spaces," Math. Comp.,22, 385?410 (1968).

2. R. Rasala, "On minimal degrees of characters of Sn," J. Algebra,45, 132?181 (1977).

3. J. McKay, "The largest degrees of irreducible characters of the symmetric group," Math. Comp.,32, 624?631 (1978).

4. A. M. Vershik and S. V. Kerov, "The asymptotic of the Plancherel measure of a symmetric group and the limit form of Young tableaux," Dokl. Akad. Nauk SSSR,233, No. 6, 1024?1027 (1977).

5. A. M. Vershik, A. B. Gribov, and S. V. Kerov, "Experiments on the computation of the dimension of a typical representation of a symmetric group," J. Sov. Math.,28, No. 4 (1985).

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