Affinizations, R-matrices and reflection functors
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909598125916160 |
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| author | Kashiwara, Masaki Kim, Myungho Oh, Se-jin Park, Euiyong |
| author_facet | Kashiwara, Masaki Kim, Myungho Oh, Se-jin Park, Euiyong |
| contents | In this paper we establish affinizations and R-matrices in the language of pro-objects, and as an application, we construct reflection functors over the localizations of quiver Hecke algebras of arbitrary finite types. This reflection functor categorifies the braid group action on the half of a quantum group and the Saito reflection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_00238 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Affinizations, R-matrices and reflection functors Kashiwara, Masaki Kim, Myungho Oh, Se-jin Park, Euiyong Representation Theory Quantum Algebra 18M05, 16D90, 81R10 In this paper we establish affinizations and R-matrices in the language of pro-objects, and as an application, we construct reflection functors over the localizations of quiver Hecke algebras of arbitrary finite types. This reflection functor categorifies the braid group action on the half of a quantum group and the Saito reflection. |
| title | Affinizations, R-matrices and reflection functors |
| topic | Representation Theory Quantum Algebra 18M05, 16D90, 81R10 |
| url | https://arxiv.org/abs/2304.00238 |