DOAJ Open Access 2020

Plane partitions and the combinatorics of some families of reduced Kronecker coefficients.

Laura Colmenarejo

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Mathematics

Penulis (1)

Laura Colmenarejo

Format Sitasi

APA MLA BibTeX

Colmenarejo, L. (2020). Plane partitions and the combinatorics of some families of reduced Kronecker coefficients.. https://doi.org/10.46298/dmtcs.6345

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6345

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6345
Akses: Open Access ✓