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| Title: | Affinizations, R-matrices and reflection functors |
| Authors: | Kashiwara, Masaki Kim, Myungho Oh, Se-jin Park, Euiyong |
| Author's alias: | 柏原, 正樹 |
| Keywords: | Affinization Localization Reflection R-matrices Quiver Hecke algebra |
| Issue Date: | May-2024 |
| Publisher: | Elsevier BV |
| Journal title: | Advances in Mathematics |
| Volume: | 443 |
| Thesis number: | 109598 |
| Abstract: | 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. |
| Rights: | © 2024. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/ The full-text file will be made open to the public on 14 Mar 2026 in accordance with publisher's 'Terms and Conditions for Self-Archiving' This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
| URI: | http://hdl.handle.net/2433/293808 |
| DOI(Published Version): | 10.1016/j.aim.2024.109598 |
| Appears in Collections: | Journal Articles |
This item is licensed under a Creative Commons License
