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

Présenté par : the Editorial Board

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.

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.

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.

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://www.numdam.org/articles/10.1016/j.crma.2013.06.008/

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