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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| imrn_rnac054.pdf | 291.25 kB | Adobe PDF | 見る/開く |
| タイトル: | Deformed Cartan Matrices and Generalized Preprojective Algebras I: Finite Type |
| 著者: | Fujita, Ryo Murakami, Kota |
| 著者名の別形: | 藤田, 遼 村上, 浩大 |
| 発行日: | Apr-2023 |
| 出版者: | Oxford University Press (OUP) |
| 誌名: | International Mathematics Research Notices |
| 巻: | 2023 |
| 号: | 8 |
| 開始ページ: | 6924 |
| 終了ページ: | 6975 |
| 抄録: | We give an interpretation of the $(q, t)$-deformed Cartan matrices of finite type and their inverses in terms of bigraded modules over the generalized preprojective algebras of Langlands dual type in the sense of Geiß–Leclerc–Schröer [33]. As an application, we compute the first extension groups between the generic kernels introduced by Hernandez–Leclerc [40] and propose a conjecture that their dimensions coincide with the pole orders of the normalized $R$-matrices between the corresponding Kirillov–Reshetikhin modules. |
| 著作権等: | This is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record [Ryo Fujita, Kota Murakami, Deformed Cartan Matrices and Generalized Preprojective Algebras I: Finite Type, International Mathematics Research Notices, Volume 2023, Issue 8, April 2023, Pages 6924–6975] is available online at: https://doi.org/10.1093/imrn/rnac054. The full-text file will be made open to the public on 25 March 2023 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/2433/281601 |
| DOI(出版社版): | 10.1093/imrn/rnac054 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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