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• W3111087451 abstract "Abstract This paper is devoted to algebro-geometric study of infinite dimensional Lie bialgebras, which arise from solutions of the classical Yang–Baxter equation. We regard trigonometric solutions of this equation as twists of the standard Lie bialgebra cobracket on an appropriate affine Lie algebra and work out the corresponding theory of Manin triples, putting it into an algebro-geometric context. As a consequence of this approach, we prove that any trigonometric solution of the classical Yang–Baxter equation arises from an appropriate algebro-geometric datum. The developed theory is illustrated by some concrete examples." @default.
• W3111087451 created "2020-12-21" @default.
• W3111087451 creator A5024564994 @default.
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• W3111087451 date "2021-09-04" @default.
• W3111087451 modified "2023-10-01" @default.
• W3111087451 title "Algebraic Geometry of Lie Bialgebras Defined by Solutions of the Classical Yang–Baxter Equation" @default.
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• W3111087451 doi "https://doi.org/10.1007/s00220-021-04188-7" @default.
• W3111087451 hasPublicationYear "2021" @default.
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