Rational Dyck Paths in the Non Relatively Prime Case

Autor: Eugene Gorsky, Mikhail Mazin, Monica Vazirani
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 28th... (2020)
Druh dokumentu: article
ISSN: 1365-8050
DOI: 10.46298/dmtcs.6387
Popis: 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.
Databáze: Directory of Open Access Journals