DOAJ Open Access 2020

Rational Dyck Paths in the Non Relatively Prime Case

Eugene Gorsky Mikhail Mazin Monica Vazirani

Lihat Sumber DOI

Abstrak

We study the relationship between rational slope Dyck paths and invariant subsets in Z, extending the work of the first two authors in the relatively prime case. We also find a bijection between (dn, dm)–Dyck paths and d-tuples of (n, m)-Dyck paths endowed with certain gluing data. These are first steps towards understanding the relationship between the rational slope Catalan combinatorics in non relatively prime case and the geometry of affine Springer fibers and representation theory.

Topik & Kata Kunci

Mathematics

Penulis (3)

Eugene Gorsky

Mikhail Mazin

Monica Vazirani

Format Sitasi

APA MLA BibTeX

Gorsky, E., Mazin, M., Vazirani, M. (2020). Rational Dyck Paths in the Non Relatively Prime Case. https://doi.org/10.46298/dmtcs.6387

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6387

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6387
Akses: Open Access ✓