Maximal Projective Degrees for Strict Partitions

نویسندگان

  • D. Bernstein
  • A. Henke
  • A. Regev
چکیده

Let λ be a partition, and denote by f λ the number of standard tableaux of shape λ. The asymptotic shape of λ maximizing f λ was determined in the classical work of Logan and Shepp and, independently, of Vershik and Kerov. The analogue problem, where the number of parts of λ is bounded by a fixed number, was done by Askey and Regev – though some steps in this work were assumed without a proof. Here these steps are proved rigorously. When λ is strict, we denote by gλ the number of standard tableau of shifted shape λ. We determine the partition λ maximizing gλ in the strip. In addition we give a conjecture related to the maximizing of gλ without any length restrictions.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 14  شماره 

صفحات  -

تاریخ انتشار 2007