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arXiv · 0910.4286

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

Iulia Pop·Julia Yermolova-Magnusson
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Abstract

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 Zelmanov. In our paper, we provide an explicit algorithm to produce $r$-matrices which correspond to Lie bialgebra structures over polynomials.

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BibTeXRIS

Iulia Pop, Julia Yermolova-Magnusson. 2009-10-22. New $r$-Matrices for Lie Bialgebra Structures over Polynomials. https://doi.org/10.1007/s11005-010-0408-2

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