We prove the strict unimodality of the q-binomial coefficients as polynomials in q. The proof is based on the combinatorics of certain Young tableaux and the semigroup property of Kronecker coefficients of representations.
Nous prouvons lʼunimodalité stricte des coefficients q-binomiaux comme polynômes en q. La preuve est basée sur la combinatoire de certains tableaux de Young et la propriété du semi-groupe des coefficients de Kronecker des représentations de .
Accepted:
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Igor Pak 1; Greta Panova 1
@article{CRMATH_2013__351_11-12_415_0,
author = {Igor Pak and Greta Panova},
title = {Strict unimodality of \protect\emph{q}-binomial coefficients},
journal = {Comptes Rendus. Math\'ematique},
pages = {415--418},
publisher = {Elsevier},
volume = {351},
number = {11-12},
year = {2013},
doi = {10.1016/j.crma.2013.06.008},
language = {en},
}
Igor Pak; Greta Panova. Strict unimodality of q-binomial coefficients. Comptes Rendus. Mathématique, Volume 351 (2013) no. 11-12, pp. 415-418. doi : 10.1016/j.crma.2013.06.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.06.008/
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