Strict unimodality of q-binomial coefficients

By Igor Pak, G. Panova. 2013

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We prove the strict unimodality of the q-binomial coefficients (nk)q as polynomials in q. The proof is based on the combinatorics of certain Young tableaux and the semigroup property of Kronecker coefficients of Sn representations.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/06ec9c86cc665692244bbccd8725e3bae5b73c2f