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Abstract: For a finite dimensional simple complex Lie algebra $\mathfrak{g}$, Liebialgebra structures on $\mathfrak{g}u$ and $\mathfrak{g}u$ wereclassified by Montaner, Stolin and Zelmanov. In our paper, we provide anexplicit algorithm to produce $r$-matrices which correspond to Lie bialgebrastructures over polynomials.



Author: Iulia Pop, Julia Yermolova-Magnusson

Source: https://arxiv.org/



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