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On elliptic solutions of the associative Yang–Baxter equation.

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Title: On elliptic solutions of the associative Yang–Baxter equation.
Authors: Burban, Igor1 (AUTHOR) burban@math.uni-paderborn.de, Peruzzi, Andrea1 (AUTHOR) aperuzzi@math.uni-paderborn.de
Source: Journal of Geometry & Physics. Jun2022, Vol. 176, pN.PAG-N.PAG. 1p.
Subjects: Yang-Baxter equation, Algebraic curves, Vector bundles
Abstract: We give a direct proof of the fact that elliptic solutions of the associative Yang–Baxter equation arise from appropriate spherical orders on an elliptic curve. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Geometry & Physics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 156319586
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: On elliptic solutions of the associative Yang–Baxter equation.
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Geometry+%26+Physics%22">Journal of Geometry & Physics</searchLink>. Jun2022, Vol. 176, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Yang-Baxter+equation%22">Yang-Baxter equation</searchLink><br /><searchLink fieldCode="DE" term="%22Algebraic+curves%22">Algebraic curves</searchLink><br /><searchLink fieldCode="DE" term="%22Vector+bundles%22">Vector bundles</searchLink>
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  Data: We give a direct proof of the fact that elliptic solutions of the associative Yang–Baxter equation arise from appropriate spherical orders on an elliptic curve. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Geometry & Physics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.geomphys.2022.104499
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Yang-Baxter equation
        Type: general
      – SubjectFull: Algebraic curves
        Type: general
      – SubjectFull: Vector bundles
        Type: general
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      – TitleFull: On elliptic solutions of the associative Yang–Baxter equation.
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          Name:
            NameFull: Burban, Igor
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            NameFull: Peruzzi, Andrea
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          Dates:
            – D: 01
              M: 06
              Text: Jun2022
              Type: published
              Y: 2022
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              Value: 176
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