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• W2894870750 abstract "In this article we formulate a group of birational transformations which is isomorphic to an extended affine Weyl group of type $(A_{2n+1}+A_1+A_1)^{(1)}$ with the aid of mutations and permutations of vertices to a mutation-periodic quiver on a torus. This group provides a class of higher order generalizations of Jimbo-Sakai's $q$-Painlev'e VI equation as translations on a root lattice. Then the known three systems are obtained again; the $q$-Garnier system, a similarity reduction of the lattice $q$-UC hierarchy and a similarity reduction of the $q$-Drinfeld-Sokolov hierarchy." @default.
• W2894870750 created "2018-10-12" @default.
• W2894870750 creator A5038415471 @default.
• W2894870750 creator A5053315746 @default.
• W2894870750 date "2018-10-07" @default.
• W2894870750 modified "2023-09-24" @default.
• W2894870750 title "Generalized $q$-Painlev'e VI systems of type $(A_{2n+1}+A_1+A_1)^{(1)}$ arising from cluster algebra" @default.
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• W2894870750 doi "https://doi.org/10.48550/arxiv.1810.03252" @default.
• W2894870750 hasPublicationYear "2018" @default.
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