DOAJ Open Access 2020

Hook formulas for skew shapes

Alejandro H. Morales Igor Pak Greta Panova

Lihat Sumber DOI

Abstrak

The celebrated hook-length formula gives a product formula for the number of standard Young tableaux of a straight shape. In 2014, Naruse announced a more general formula for the number of standard Young tableaux of skew shapes as a positive sum over excited diagrams of products of hook-lengths. We give two q-analogues of Naruse's formula for the skew Schur functions and for counting reverse plane partitions of skew shapes. We also apply our results to border strip shapes and their generalizations.

Topik & Kata Kunci

Mathematics

Penulis (3)

Alejandro H. Morales

Igor Pak

Greta Panova

Format Sitasi

APA MLA BibTeX

Morales, A.H., Pak, I., Panova, G. (2020). Hook formulas for skew shapes. https://doi.org/10.46298/dmtcs.6354

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6354

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6354
Akses: Open Access ✓