Stability of \imathcanonical bases of irreducible finite type of real rank one
It has been known since their birth in Bao and Wang’s work that the \imathcanonical bases of \imathquantum groups are not stable in general. In the author’s previous work, the stability of \imathcanonical bases of certain quasi-split types turned out to be closely related to the theory of \imathcrys...
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| Veröffentlicht in: | Representation theory 2023-03, Vol.27 (1), p.1 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | It has been known since their birth in Bao and Wang’s work that the \imathcanonical bases of \imathquantum groups are not stable in general. In the author’s previous work, the stability of \imathcanonical bases of certain quasi-split types turned out to be closely related to the theory of \imathcrystals. In this paper, we prove the stability of \imathcanonical bases of irreducible finite type of real rank 1, for which the theory of \imathcrystals has not been developed, by means of global and local crystal bases. |
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| ISSN: | 1088-4165 |
| DOI: | 10.1090/ert/639 |