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...
Ausführliche Beschreibung
Autor*in: |
Suzuki, Takao [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2021 |
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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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Katalog-ID: |
OLC2077543388 |
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650 | 4 | |a Garnier system | |
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10.1007/s11040-021-09412-3 doi (DE-627)OLC2077543388 (DE-He213)s11040-021-09412-3-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn 31.40$jAnalysis: Allgemeines bkl 31.50$jGeometrie: Allgemeines bkl 33.06$jMathematische Methoden der Physik bkl Suzuki, Takao verfasserin aut A Lax Formulation of a Generalized q-Garnier System 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2021 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. Affine Weyl group Discrete Painlevé equation Garnier system Enthalten in Mathematical physics, analysis and geometry Springer Netherlands, 1998 24(2021), 4 vom: 27. Nov. (DE-627)300830831 (DE-600)1484000-5 (DE-576)091204909 1385-0172 nnns volume:24 year:2021 number:4 day:27 month:11 https://doi.org/10.1007/s11040-021-09412-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT 31.40$jAnalysis: Allgemeines VZ 106423258 (DE-625)106423258 31.50$jGeometrie: Allgemeines VZ 106408127 (DE-625)106408127 33.06$jMathematische Methoden der Physik VZ 106407937 (DE-625)106407937 AR 24 2021 4 27 11 |
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10.1007/s11040-021-09412-3 doi (DE-627)OLC2077543388 (DE-He213)s11040-021-09412-3-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn 31.40$jAnalysis: Allgemeines bkl 31.50$jGeometrie: Allgemeines bkl 33.06$jMathematische Methoden der Physik bkl Suzuki, Takao verfasserin aut A Lax Formulation of a Generalized q-Garnier System 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2021 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. Affine Weyl group Discrete Painlevé equation Garnier system Enthalten in Mathematical physics, analysis and geometry Springer Netherlands, 1998 24(2021), 4 vom: 27. Nov. (DE-627)300830831 (DE-600)1484000-5 (DE-576)091204909 1385-0172 nnns volume:24 year:2021 number:4 day:27 month:11 https://doi.org/10.1007/s11040-021-09412-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT 31.40$jAnalysis: Allgemeines VZ 106423258 (DE-625)106423258 31.50$jGeometrie: Allgemeines VZ 106408127 (DE-625)106408127 33.06$jMathematische Methoden der Physik VZ 106407937 (DE-625)106407937 AR 24 2021 4 27 11 |
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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 |
abstractGer |
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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https://doi.org/10.1007/s11040-021-09412-3 |
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10.1007/s11040-021-09412-3 |
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2024-07-03T16:06:11.511Z |
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