DOAJ Open Access 2009

Refinements of the Littlewood-Richardson rule

J. Haglund K. Luoto S. Mason S. van Willigenburg

Lihat Sumber DOI

Abstrak

We refine the classical Littlewood-Richardson rule in several different settings. We begin with a combinatorial rule for the product of a Demazure atom and a Schur function. Building on this, we also describe the product of a quasisymmetric Schur function and a Schur function as a positive sum of quasisymmetric Schur functions. Finally, we provide a combinatorial formula for the product of a Demazure character and a Schur function as a positive sum of Demazure characters. This last rule implies the classical Littlewood-Richardson rule for the multiplication of two Schur functions.

Topik & Kata Kunci

Mathematics

Penulis (4)

J. Haglund

K. Luoto

S. Mason

S. van Willigenburg

Format Sitasi

APA MLA BibTeX

Haglund, J., Luoto, K., Mason, S., Willigenburg, S.v. (2009). Refinements of the Littlewood-Richardson rule. https://doi.org/10.46298/dmtcs.2744

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2744

Informasi Jurnal

Tahun Terbit: 2009
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2744
Akses: Open Access ✓