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タイトル: | Cluster 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) |
著者: | MASUDA, Tetsu OKUBO, Naoto TSUDA, Teruhisa |
著者名の別形: | 津田, 照久 |
キーワード: | 13F60 20F55 34M55 37K10 39A13 |
発行日: | Aug-2021 |
出版者: | Research Institute for Mathematical Sciences, Kyoto University |
誌名: | 数理解析研究所講究録別冊 |
巻: | B87 |
開始ページ: | 149 |
終了ページ: | 163 |
抄録: | We 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. |
記述: | Mathematical 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. |
著作権等: | © 2021 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/265836 |
出現コレクション: | B87 Mathematical structures of integrable systems, its deepening and expansion |
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