Shifted affine iquantum groups of quasi-split ADE types
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912988763521024 |
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| author | Lu, Kang Wang, Weiqiang Weekes, Alex |
| author_facet | Lu, Kang Wang, Weiqiang Weekes, Alex |
| contents | We formulate shifted affine iquantum groups of arbitrary quasi-split ADE types via Drinfeld presentations. We construct GKLO-type representations of shifted affine iquantum groups via algebras of difference operators, which allow us to construct truncated shifted affine iquantum groups. This provides a q-deformation of truncated shifted iYangians in our prior work arising as a quantization of affine Grassmannian islices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28446 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Shifted affine iquantum groups of quasi-split ADE types Lu, Kang Wang, Weiqiang Weekes, Alex Quantum Algebra Representation Theory We formulate shifted affine iquantum groups of arbitrary quasi-split ADE types via Drinfeld presentations. We construct GKLO-type representations of shifted affine iquantum groups via algebras of difference operators, which allow us to construct truncated shifted affine iquantum groups. This provides a q-deformation of truncated shifted iYangians in our prior work arising as a quantization of affine Grassmannian islices. |
| title | Shifted affine iquantum groups of quasi-split ADE types |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2603.28446 |