Journal of Mathematical Sciences

, Volume 87, Issue 6, pp 4118–4123

On the number of rim hook tableaux

  • S. V. Fomin
  • N. Lulov

DOI: 10.1007/BF02355806

Cite this article as:
Fomin, S.V. & Lulov, N. J Math Sci (1997) 87: 4118. doi:10.1007/BF02355806


A hooklength formula for the number of rim hook tableaux is used to obtain an inequality relating the number of rim hook tableaux of a given shape to the number of standard Young tableaux of the same shape. This provides an upper bound for a certain family of characters of the symmetric group. The analogues for shifted shapes and rooted trees are also given. Bibliography: 13 titles.

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • S. V. Fomin
  • N. Lulov

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