On the number of rim hook tableaux
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part I, Tome 223 (1995), pp. 219-226
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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.
@article{ZNSL_1995_223_a11,
author = {S. V. Fomin and Nathan Lulov},
title = {On the number of rim hook tableaux},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {219--226},
year = {1995},
volume = {223},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_223_a11/}
}
S. V. Fomin; Nathan Lulov. On the number of rim hook tableaux. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part I, Tome 223 (1995), pp. 219-226. http://geodesic.mathdoc.fr/item/ZNSL_1995_223_a11/