New $r$-Matrices for Lie Bialgebra Structures over Polynomials

Iulia Pop, Julia Yermolova-Magnusson

For a finite dimensional simple complex Lie algebra $\mathfrak{g}$, Lie bialgebra structures on $\mathfrak{g}[[u]]$ and $\mathfrak{g}[u]$ were classified by Montaner, Stolin and Ze…