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Strict unimodality of q-binomial coefficients

Published 21 Jun 2013 in math.CO | (1306.5085v2)

Abstract: We prove strict unimodality of the q-binomial coefficients \binom{n}{k}_q as polynomials in q. The proof is based on the combinatorics of certain Young tableaux and the semigroup property of Kronecker coefficients of S_n representations.

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