On the interplay of the parametrizations of canonical bases by Lusztig and string data

On the interplay of the parametrizations of canonical bases by Lusztig and string data

For arbitrary reduced words we give formulas for the crystal structures on string and Lusztig data of type A as well as the defining inequalities of the corresponding polytopes revealing certain dualities between them.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2019-01
Hauptverfasser: Genz, Volker, Koshevoy, Gleb, Schumann, Bea
Format: Artikel
Sprache:eng
Schlagworte:
Crystal structure
Crystals
Polytopes
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:For arbitrary reduced words we give formulas for the crystal structures on string and Lusztig data of type A as well as the defining inequalities of the corresponding polytopes revealing certain dualities between them.
ISSN:2331-8422