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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| s00209-023-03386-4.pdf | 563.12 kB | Adobe PDF | 見る/開く |
完全メタデータレコード
| DCフィールド | 値 | 言語 |
|---|---|---|
| dc.contributor.author | Fujita, Ryo | en |
| dc.contributor.author | Murakami, Kota | en |
| dc.contributor.alternative | 藤田, 遼 | ja |
| dc.contributor.alternative | 村上, 浩大 | ja |
| dc.date.accessioned | 2024-02-09T01:34:49Z | - |
| dc.date.available | 2024-02-09T01:34:49Z | - |
| dc.date.issued | 2023-12 | - |
| dc.identifier.uri | http://hdl.handle.net/2433/286956 | - |
| dc.description.abstract | We propose a definition of deformed symmetrizable generalized Cartan matrices with several deformation parameters, which admit a categorical interpretation by graded modules over the generalized preprojective algebras in the sense of Geiß–Leclerc–Schröer. Using the categorical interpretation, we deduce a combinatorial formula for the inverses of our deformed Cartan matrices in terms of braid group actions. Under a certain condition, which is satisfied in all the symmetric cases or in all the finite and affine cases, our definition coincides with that of the mass-deformed Cartan matrices introduced by Kimura–Pestun in their study of quiver W-algebras. | en |
| dc.language.iso | eng | - |
| dc.publisher | Springer Nature | en |
| dc.rights | © The Author(s) 2023 | en |
| dc.rights | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. | en |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | - |
| dc.subject | Deformed Cartan matrices | en |
| dc.subject | Braid group actions | en |
| dc.subject | Generalized preprojective algebras | en |
| dc.subject | Categorifications | en |
| dc.subject | 16G20 | en |
| dc.subject | 17B37 | en |
| dc.subject | 16W50 | en |
| dc.subject | 17B67 | en |
| dc.subject | 81R50 | en |
| dc.title | Deformed Cartan matrices and generalized preprojective algebras II: general type | en |
| dc.type | journal article | - |
| dc.type.niitype | Journal Article | - |
| dc.identifier.jtitle | Mathematische Zeitschrift | de |
| dc.identifier.volume | 305 | - |
| dc.identifier.issue | 4 | - |
| dc.relation.doi | 10.1007/s00209-023-03386-4 | - |
| dc.textversion | publisher | - |
| dc.identifier.artnum | 63 | - |
| dcterms.accessRights | open access | - |
| datacite.awardNumber | 23K12955 | - |
| datacite.awardNumber | 21J14653 | - |
| datacite.awardNumber | 23KJ0337 | - |
| datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K12955/ | - |
| datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21J14653/ | - |
| datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23KJ0337/ | - |
| dc.identifier.pissn | 0025-5874 | - |
| dc.identifier.eissn | 1432-1823 | - |
| jpcoar.funderName | 日本学術振興会 | ja |
| jpcoar.funderName | 日本学術振興会 | ja |
| jpcoar.funderName | 日本学術振興会 | ja |
| jpcoar.awardTitle | ポテンシャル付箙を用いたアフィン量子群の表現の研究 | ja |
| jpcoar.awardTitle | 場の量子論に現れる代数構造と量子群の表現論 | ja |
| jpcoar.awardTitle | 箙から生じる組み合わせ論と量子群の表現論 | ja |
| 出現コレクション: | 学術雑誌掲載論文等 | |
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