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タイトル: | Cluster algebra and q-Painleve equations: higher order generalization and degeneration structure (Mathematical structures of integrable systems and their applications) |
著者: | Suzuki, Takao Okubo, Naoto |
著者名の別形: | 鈴木, 貴雄 大久保, 直人 |
キーワード: | 39A13 13F60 17B80 34M55 37K35 |
発行日: | Apr-2020 |
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: | B78 |
開始ページ: | 53 |
終了ページ: | 75 |
抄録: | In this article we give a birational representation of an extended affine Weyl group of type (Amn-1 + Am-1 + Am-1)(1) with the aid of a cluster mutation. This group provides several higher order generalizations of the q-Painlevé VI equation (q-PVI) as translations. We also discuss a condiscuss a confluence of vertices of a quiver which can be applied to a degeneration structure of the q-Painlevé equations. |
記述: | "Mathematical structures of integrable systems and their applications". September 5-7, 2018. edited by Shinsuke Iwao. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2020 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/260630 |
出現コレクション: | B78 Mathematical structures of integrable systems and their applications |

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