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arXiv · 1306.5085

Strict unimodality of q-binomial coefficients

Igor Pak·Greta Panova
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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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Igor Pak, Greta Panova. 2013-11-10. Strict unimodality of q-binomial coefficients. https://doi.org/10.1016/j.crma.2013.06.008

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