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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.09397 |
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| _version_ | 1866929627839070208 |
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| author | van Diejen, J. F. Emsiz, E. Zurrián, I. N. |
| author_facet | van Diejen, J. F. Emsiz, E. Zurrián, I. N. |
| contents | We construct the basic representation of the double affine Hecke algebra at critical level $q=1$ associated to an irreducible reduced affine root system $R$ with a reduced gradient root system. For $R$ of untwisted type such a representation was studied by Oblomkov [O04] and further detailed by Gehles [G06] in the presence of minuscule weights. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09397 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the basic representation of the double affine Hecke algebra at critical level van Diejen, J. F. Emsiz, E. Zurrián, I. N. Representation Theory 20C08, 17B22, 17B67, 33D80 We construct the basic representation of the double affine Hecke algebra at critical level $q=1$ associated to an irreducible reduced affine root system $R$ with a reduced gradient root system. For $R$ of untwisted type such a representation was studied by Oblomkov [O04] and further detailed by Gehles [G06] in the presence of minuscule weights. |
| title | On the basic representation of the double affine Hecke algebra at critical level |
| topic | Representation Theory 20C08, 17B22, 17B67, 33D80 |
| url | https://arxiv.org/abs/2412.09397 |