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  2. 400　数理解析研究所
  3. 2.講究録別冊
  4. B87 Mathematical structures of integrable systems, its deepening and expansion
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dc.contributor.authorMASUDA, Tetsuen
dc.contributor.authorOKUBO, Naotoen
dc.contributor.authorTSUDA, Teruhisaen
dc.contributor.alternative津田, 照久ja
dc.contributor.transcriptionツダ, テルヒサja-Kana
dc.date.accessioned2021-11-02T00:41:34Z-
dc.date.available2021-11-02T00:41:34Z-
dc.date.issued2021-08-
dc.identifier.urihttp://hdl.handle.net/2433/265836-
dc.descriptionMathematical structures of integrable systems, its deepening and expansion. September 9-11, 2019. edited by Takao Suzuki. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.en
dc.description.abstractWe construct higher order generalizations of the q-Painlevé equations of surface type A₇(¹) and A₆(¹) based on the cluster algebras corresponding to certain quivers. These equations possess the affine Weyl group symmetries of type A₁(¹) and (A1 + A′1)(¹), respectively. We show that these equations and symmetries can be realized as birational canonical transformations. A relationship between the quivers and the discrete KdV equation is also discussed.en
dc.language.isoeng-
dc.publisherResearch Institute for Mathematical Sciences, Kyoto Universityen
dc.publisher.alternative京都大学数理解析研究所ja
dc.rights© 2021 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved.en
dc.subject13F60en
dc.subject20F55en
dc.subject34M55en
dc.subject37K10en
dc.subject39A13en
dc.subject.ndc410-
dc.titleCluster algebras and higher order generalizations of the $q$-Painleve equations of type $A_7^{(1)}$ and $A_6^{(1)}$ (Mathematical structures of integrable systems, its deepening and expansion)en
dc.typedepartmental bulletin paper-
dc.type.niitypeDepartmental Bulletin Paper-
dc.identifier.ncidAA12196120-
dc.identifier.jtitle数理解析研究所講究録別冊ja
dc.identifier.volumeB87-
dc.identifier.spage149-
dc.identifier.epage163-
dc.textversionpublisher-
dc.sortkey11-
dc.addressDepartment of Physics and Mathematics, Aoyama Gakuin Universityen
dc.addressDepartment of Physics and Mathematics, Aoyama Gakuin Universityen
dc.addressDepartment of Economics, Hitotsubashi Universityen
dc.address.alternative青山学院大学ja
dc.address.alternative青山学院大学ja
dc.address.alternative一橋大学ja
dcterms.accessRightsopen access-
dc.identifier.pissn1881-6193-
dc.identifier.jtitle-alternativeRIMS Kokyuroku Bessatsuen
出現コレクション:B87 Mathematical structures of integrable systems, its deepening and expansion

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