Geodesic
Unimodality via Kronecker products
Journal of Algebraic Combinatorics, Tome 40 (2014) no. 4, pp. 1103-1120.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We present new proofs and generalizations of unimodality of the $q$-binomial coefficients ${n\choose k}_q$ as polynomials in $q$. We use an algebraic approach by interpreting the differences between numbers of certain partitions as Kronecker coefficients of representations of $S_n$. Other applications of this approach include strict unimodality of the diagonal $q$-binomial coefficients and unimodality of certain partition statistics.
Classification : 05E10, 05C76, 05A17
Keywords: unimodal sequences, Gaussian binomial coefficients, Kronecker product, strict unimodality, integer partitions 
@article{JAC_2014__40_4_a2,
     author = {Pak, Igor and Panova, Greta},
     title = {Unimodality via {Kronecker} products},
     journal = {Journal of Algebraic Combinatorics},
     pages = {1103--1120},
     publisher = {mathdoc},
     volume = {40},
     number = {4},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2014__40_4_a2/}
}
TY  - JOUR
AU  - Pak, Igor
AU  - Panova, Greta
TI  - Unimodality via Kronecker products
JO  - Journal of Algebraic Combinatorics
PY  - 2014
SP  - 1103
EP  - 1120
VL  - 40
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JAC_2014__40_4_a2/
LA  - en
ID  - JAC_2014__40_4_a2
ER  - 
%0 Journal Article
%A Pak, Igor
%A Panova, Greta
%T Unimodality via Kronecker products
%J Journal of Algebraic Combinatorics
%D 2014
%P 1103-1120
%V 40
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JAC_2014__40_4_a2/
%G en
%F JAC_2014__40_4_a2
Pak, Igor; Panova, Greta. Unimodality via Kronecker products. Journal of Algebraic Combinatorics, Tome 40 (2014) no. 4, pp. 1103-1120. http://geodesic.mathdoc.fr/item/JAC_2014__40_4_a2/