Kaydedildi:
| Yazar: | |
|---|---|
| Materyal Türü: | Preprint |
| Baskı/Yayın Bilgisi: |
2024
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| Konular: | |
| Online Erişim: | https://arxiv.org/abs/2407.07280 |
| Etiketler: |
Etiketle
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İçindekiler:
- We introduce the notion of integrable modules over $\imath$quantum groups (a.k.a. quantum symmetric pair coideal subalgebras). After determining a presentation of such modules, we prove that each integrable module over a quantum group is integrable when restricted to an $\imath$quantum group. As an application, we show that the space of matrix coefficients of all simple integrable modules over an $\imath$quantum group of finite type with specific parameters coincides with Bao-Song's coordinate ring of the $\imath$quantum group.