A Lax Formulation of a Generalized q-Garnier System
Abstract Recently, a birational representation of an extended affine Weyl group of type $$A_{mn-1}^{(1)}\times A_{m-1}^{(1)}\times A_{m-1}^{(1)}$$ was proposed with the aid of a cluster mutation. In this article we formulate this representation in a framework of a system of q-difference equations wi...
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Gespeichert in:
| Autor*in: |
Suzuki, Takao [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Nature B.V. 2021 |
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| Übergeordnetes Werk: |
Enthalten in: Mathematical physics, analysis and geometry - Springer Netherlands, 1998, 24(2021), 4 vom: 27. Nov. |
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| Übergeordnetes Werk: |
volume:24 ; year:2021 ; number:4 ; day:27 ; month:11 |
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| DOI / URN: |
10.1007/s11040-021-09412-3 |
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Abstract Recently, a birational representation of an extended affine Weyl group of type $$A_{mn-1}^{(1)}\times A_{m-1}^{(1)}\times A_{m-1}^{(1)}$$ was proposed with the aid of a cluster mutation. In this article we formulate this representation in a framework of a system of q-difference equations with $$mn\times mn$$ matrices. This formulation is called a Lax form and is used to derive a generalization of the q-Garnier system. © The Author(s), under exclusive licence to Springer Nature B.V. 2021 |
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Abstract Recently, a birational representation of an extended affine Weyl group of type $$A_{mn-1}^{(1)}\times A_{m-1}^{(1)}\times A_{m-1}^{(1)}$$ was proposed with the aid of a cluster mutation. In this article we formulate this representation in a framework of a system of q-difference equations with $$mn\times mn$$ matrices. This formulation is called a Lax form and is used to derive a generalization of the q-Garnier system. © The Author(s), under exclusive licence to Springer Nature B.V. 2021 |
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Abstract Recently, a birational representation of an extended affine Weyl group of type $$A_{mn-1}^{(1)}\times A_{m-1}^{(1)}\times A_{m-1}^{(1)}$$ was proposed with the aid of a cluster mutation. In this article we formulate this representation in a framework of a system of q-difference equations with $$mn\times mn$$ matrices. This formulation is called a Lax form and is used to derive a generalization of the q-Garnier system. © The Author(s), under exclusive licence to Springer Nature B.V. 2021 |
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A Lax Formulation of a Generalized q-Garnier System |
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