Geodesic
Combinatorics
Strict unimodality of q-binomial coefficients
[Lʼunimodalité stricte des coefficients q-binomiaux]

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Pak, Igor1 ; Panova, Greta1
1 Department of Mathematics, UCLA, Los Angeles, CA 90095, USA
Comptes Rendus. Mathématique, Tome 351 (2013) no. 11-12, pp. 415-418.

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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.

Nous prouvons lʼunimodalité stricte des coefficients q-binomiaux (nk)q 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 Sn.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.06.008

Pak, Igor 1 ; Panova, Greta 1

1 Department of Mathematics, UCLA, Los Angeles, CA 90095, USA 
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Pak, Igor; Panova, Greta. Strict unimodality of q-binomial coefficients. Comptes Rendus. Mathématique, Tome 351 (2013) no. 11-12, pp. 415-418. doi : 10.1016/j.crma.2013.06.008. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2013.06.008/

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