Global crystal bases for integrable modules over a quantum symmetric pair of type AIII
In this paper, we study basic properties of global ȷ \jmath -crystal bases for integrable modules over a quantum symmetric pair coideal subalgebra U ȷ \mathbf {U}^{\jmath } associated to the Satake diagram of type AIII without black nodes. Also, we obtain an intrinsic characterization of the ȷ \jmat...
Gespeichert in:
| Veröffentlicht in: | Representation theory 2021-01, Vol.25 (2), p.27-66 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | In this paper, we study basic properties of global
ȷ
\jmath
-crystal bases for integrable modules over a quantum symmetric pair coideal subalgebra
U
ȷ
\mathbf {U}^{\jmath }
associated to the Satake diagram of type AIII without black nodes. Also, we obtain an intrinsic characterization of the
ȷ
\jmath
-crystal bases, whose original definition is artificial. |
|---|---|
| ISSN: | 1088-4165 1088-4165 |
| DOI: | 10.1090/ert/556 |