Geodesic
Plane partitions and the combinatorics of some families of reduced Kronecker coefficients.
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020).

Voir la notice de l'article provenant de la source Episciences

We compute the generating function of some families of reduced Kronecker coefficients. We give a combi- natorial interpretation for these coefficients in terms of plane partitions. This unexpected relation allows us to check that the saturation hypothesis holds for the reduced Kronecker coefficients of our families. We also compute the quasipolynomial that govern these families, specifying the degree and period. Moving to the setting of Kronecker co- efficients, these results imply some observations related to the rate of growth experienced by the families of Kronecker coefficients associated to the reduced Kronecker coefficients already studied. 
@article{DMTCS_2020_special_379_a27,
     author = {Colmenarejo, Laura},
     title = {Plane partitions and the combinatorics of some families of reduced {Kronecker} coefficients.},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)},
     year = {2020},
     doi = {10.46298/dmtcs.6345},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6345/}
}
TY  - JOUR
AU  - Colmenarejo, Laura
TI  - Plane partitions and the combinatorics of some families of reduced Kronecker coefficients.
JO  - Discrete mathematics & theoretical computer science
PY  - 2020
VL  - DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6345/
DO  - 10.46298/dmtcs.6345
LA  - en
ID  - DMTCS_2020_special_379_a27
ER  - 
%0 Journal Article
%A Colmenarejo, Laura
%T Plane partitions and the combinatorics of some families of reduced Kronecker coefficients.
%J Discrete mathematics & theoretical computer science
%D 2020
%V DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6345/
%R 10.46298/dmtcs.6345
%G en
%F DMTCS_2020_special_379_a27
Colmenarejo, Laura. Plane partitions and the combinatorics of some families of reduced Kronecker coefficients.. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020). doi : 10.46298/dmtcs.6345. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6345/

Cité par Sources :