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The 4(th) structure

A. Stolin·J. Yermolova-Magnusson
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Abstract

In this paper we describe all Lie bialgebra structures on the polynomial Lie algebra $\mathbf{g}[u]$, where $\mathbf{g}$ is a simple, finite dimensional, complex Lie algebra. The results are based on an unpublished paper Montaner and Zelmanov. Further, we introduce quasi-rational solutions of the CYBE and describe all quasi-rational $r$-matrices for $\mathbf{sl}(2)$.

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A. Stolin, J. Yermolova-Magnusson. 2006-12-14. The 4(th) structure. https://doi.org/10.1007/s10582-006-0440-8

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