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Degenerations of elliptic solutions to the Yang-Baxter equationGeometry/Topology
|Speaker:||Robin Endelman, University of Cincinnati|
|Start time:||Mon, Jun 10 2002, 4:10PM|
In 1992, Shibukawa and Ueno derived a family of solutions to the Yang-Baxter equation as operators on function space. In this framework, we study the connection between well-known elliptic solutions and trigonometric degenerations, and construct a new family of rational solutions, which generalize to higher dimensions the Jordanian R-matrices. These solutions are obtained from twisted Shibukawa-Ueno operators restricted to finite dimensional subspaces, and the trigonometric and rational degenerations are described via these function spaces.