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dc.contributor.author | Fujita, Ryo | en |
dc.contributor.alternative | 藤田, 遼 | ja |
dc.date.accessioned | 2022-02-09T04:44:50Z | - |
dc.date.available | 2022-02-09T04:44:50Z | - |
dc.date.issued | 2022-02 | - |
dc.identifier.uri | http://hdl.handle.net/2433/267889 | - |
dc.description.abstract | We present a simple unified formula expressing the denominators of the normalized R-matrices between the fundamental modules over the quantum loop algebras of type ADE. It has an interpretation in terms of representations of Dynkin quivers and can be proved in a unified way using geometry of the graded quiver varieties. As a by-product, we obtain a geometric interpretation of Kang–Kashiwara–Kim’s generalized quantum affine Schur–Weyl duality functor when it arises from a family of the fundamental modules. We also study several cases when the graded quiver varieties are isomorphic to unions of the graded nilpotent orbits of type A. | en |
dc.language.iso | eng | - |
dc.publisher | Springer Nature | en |
dc.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/s00029-021-00715-5 | en |
dc.rights | The full-text file will be made open to the public on 23 October 2022 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. | en |
dc.rights | 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。 | en |
dc.subject | Quantum loop algebra | en |
dc.subject | R-matrix | en |
dc.subject | Graded quiver variety | en |
dc.subject | Generalized quantum affine Schur–Weyl duality | en |
dc.title | Graded quiver varieties and singularities of normalized R-matrices for fundamental modules | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Selecta Mathematica | en |
dc.identifier.volume | 28 | - |
dc.identifier.issue | 1 | - |
dc.relation.doi | 10.1007/s00029-021-00715-5 | - |
dc.textversion | author | - |
dc.identifier.artnum | 2 | - |
dcterms.accessRights | open access | - |
datacite.date.available | 2022-10-23 | - |
datacite.awardNumber | 18J10669 | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18J10669/ | - |
dc.identifier.pissn | 1022-1824 | - |
dc.identifier.eissn | 1420-9020 | - |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.awardTitle | 量子アフィン代数の加群圏の研究 | ja |
出現コレクション: | 学術雑誌掲載論文等 |
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