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dc.contributor.author | Kato, Syu | en |
dc.contributor.alternative | 加藤, 周 | ja |
dc.date.accessioned | 2018-03-15T03:05:53Z | - |
dc.date.available | 2018-03-15T03:05:53Z | - |
dc.date.issued | 2017-06 | - |
dc.identifier.issn | 1080-6377 | - |
dc.identifier.uri | http://hdl.handle.net/2433/230135 | - |
dc.description.abstract | We present simple conditions which guarantee a geometric extension algebra to behave like a variant of quasi-hereditary algebras. In particular, standard modules of affine Hecke algebras of type $sf{BC}$, and the quiver Schur algebras are shown to satisfy the Brauer-Humphreys type reciprocity and the semi-orthogonality property. In addition, we present a new criterion of purity of weights in the geometric side. This yields a proof of Shoji's conjecture on limit symbols of type $sf{B}$ [T. Shoji, {it Adv. Stud. Pure Math.} 40 (2004)], and the purity of the exotic Springer fibers [S. Kato, {it Duke Math. J.} 148 (2009)]. Using this, we describe the leading terms of the $C^{infty}$-realization of a solution of the Lieb-McGuire system in the appendix. In [S. Kato, {it Duke Math. J.} 163 (2014)], we apply the results of this paper to the KLR algebras of type $sf{ADE}$ to establish Kashwara's problem and Lusztig's conjecture. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Johns Hopkins University Press | en |
dc.rights | This article appeared in the American Journal of Mathematics, Volume 139, Issue 3, 2017, pages 576-615, Copyright © 2017, Johns Hopkins University Press. | en |
dc.rights | This is not the published version. Please cite only the published version. | en |
dc.rights | 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。 | ja |
dc.title | An algebraic study of extension algebras | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | American Journal of Mathematics | en |
dc.identifier.volume | 139 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 567 | - |
dc.identifier.epage | 615 | - |
dc.relation.doi | 10.1353/ajm.2017.0015 | - |
dc.textversion | author | - |
dc.address | Department of Mathematics, Kyoto University | en |
dc.relation.url | https://muse.jhu.edu/article/657763/summary | - |
dcterms.accessRights | open access | - |
出現コレクション: | 学術雑誌掲載論文等 |
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