DOAJ Open Access 2020

Symmetric Fundamental Expansions to Schur Positivity

Austin Roberts

Abstrak

We consider families of quasisymmetric functions with the property that if a symmetric function f is a positive sum of functions in one of these families, then f is necessarily a positive sum of Schur functions. Furthermore, in each of the families studied, we give a combinatorial description of the Schur coefficients of f. We organize six such families into a poset, where functions in higher families in the poset are always positive integer sums of functions in each of the lower families.

Topik & Kata Kunci

Penulis (1)

A

Austin Roberts

Format Sitasi

Roberts, A. (2020). Symmetric Fundamental Expansions to Schur Positivity. https://doi.org/10.46298/dmtcs.6366

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6366
Informasi Jurnal
Tahun Terbit
2020
Sumber Database
DOAJ
DOI
10.46298/dmtcs.6366
Akses
Open Access ✓