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| File | Description | Size | Format | |
|---|---|---|---|---|
| s00208-024-02875-z.pdf | 381.81 kB | Adobe PDF | View/Open |
| Title: | Localizations for quiver Hecke algebras III |
| Authors: | Kashiwara, Masaki    https://orcid.org/https://orcid.org/0000-0001-6851-7581 (unconfirmed)Kim, Myungho Oh, Se-jin Park, Euiyong |
| Author's alias: | 柏原, 正樹 |
| Issue Date: | Dec-2024 |
| Publisher: | Springer Nature |
| Journal title: | Mathematische Annalen |
| Volume: | 390 |
| Start page: | 5075 |
| End page: | 5108 |
| Abstract: | Let R be a quiver Hecke algebra, and let 𝒞𝓌, 𝓋 be the category of finite-dimensional graded R-module categorifying a q-deformation of the doubly-invariant algebra ᴺ'⁽ʷ⁾ℂ[ᴺ]𝘕⁽ᵛ⁾. In this paper, we prove that the localization 𝒞˜𝓌, 𝓋 of the category 𝒞𝓌, 𝓋 can be obtained as the localization by right braiders arising from determinantial modules. As its application, we show several interesting properties of the localized category 𝒞˜𝓌, 𝓋 including the right rigidity. |
| Rights: | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00208-024-02875-z The full-text file will be made open to the public on 3 May 2024 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/2433/293052 |
| DOI(Published Version): | 10.1007/s00208-024-02875-z |
| Appears in Collections: | Journal Articles |
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