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math.CO2016
Generalization of Knuth's formula for the number of skew tableaux
Minwon Na
We take an elementary approach to derive a generalization of Kunth's formula using Lassalle's explicit formula. In particular, we give a formula for the Kostka numbers of a shape $…
math.CO2016
A correction to the paper `A new approach to the representation theory of the symmetric groups, III'
Minwon Na
The aim of this paper is to give a corrected bijective proof of Vershik's relations for the Kostka numbers. Our proof uses insertion and reverse insertion algorithms, as in the com…
math.CO2015
On the greatest and least elements in the set of semistandard tableaux of given shape and weight
Akihiro Munemasa, Minwon Na
We give three algorithms to construct a semistandard tableau of given shape and weight, where the weight is a composition which is not necessarily a partition. With respect to a na…