Relating Edelman-Greene insertion to the Little map

Autor: Zachary Hamaker, Benjamin Young
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AS,..., Iss Proceedings (2013)
Druh dokumentu: article
ISSN: 1365-8050
DOI: 10.46298/dmtcs.12807
Popis: The Little map and the Edelman-Greene insertion algorithm, a generalization of the Robinson-Schensted correspondence, are both used for enumerating the reduced decompositions of an element of the symmetric group. We show the Little map factors through Edelman-Greene insertion and establish new results about each map as a consequence. In particular, we resolve some conjectures of Lam and Little.
Databáze: Directory of Open Access Journals