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arXiv:1306.5085 [math.CO]AbstractReferencesReviewsResources

Strict unimodality of q-binomial coefficients

Igor Pak, Greta Panova

Published 2013-06-21, updated 2013-11-10Version 2

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.

Comments: 4 pages. version 2: minor changes in theorems 1, 6 and lemma 2; details added
Journal: C. R. Acad. Sci. Paris, Ser. I (2013)
Categories: math.CO
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