Algebraic Geometry of Lie Bialgebras Defined by Solutions of the Classical Yang–Baxter Equation
Algebraic Geometry of Lie Bialgebras Defined by Solutions of the Classical Yang–Baxter Equation
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 …