Strict unimodality of q-binomial coefficients
classification
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keywords
coefficientsq-binomialstrictunimodalitybinomcertaincombinatoricskronecker
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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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