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Polynomiality of certain average weights for oscillating tableaux

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 نشر من قبل Huan Xiong
 تاريخ النشر 2017
  مجال البحث
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We prove that a family of average weights for oscillating tableaux are polynomials in two variables, namely, the length of the oscillating tableau and the size of the ending partition, which generalizes a result of Hopkins and Zhang. Several explicit and asymptotic formulas for the average weights are also derived.



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