DOAJ Open Access 2020

Schur-positivity via products of grid classes

Sergi Elizalde Yuval Roichman

Lihat Sumber DOI

Abstrak

Characterizing sets of permutations whose associated quasisymmetric function is symmetric and Schur- positive is a long-standing problem in algebraic combinatorics. In this paper we present a general method to construct Schur-positive sets and multisets, based on geometric grid classes and the product operation. Our approach produces many new instances of Schur-positive sets, and provides a broad framework that explains the existence of known such sets that until now were sporadic cases.

Topik & Kata Kunci

Mathematics

Penulis (2)

Sergi Elizalde

Yuval Roichman

Format Sitasi

APA MLA BibTeX

Elizalde, S., Roichman, Y. (2020). Schur-positivity via products of grid classes. https://doi.org/10.46298/dmtcs.6373

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6373

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6373
Akses: Open Access ✓