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The 4(th) structure

A. Stolin, J. Yermolova-Magnusson

math.QAarXiv:math/0612423

Abstract

In this paper we describe all Lie bialgebra structures on the polynomial Lie algebra g[u], where 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 The results are based on an unpublished paper Montaner and Zelmanov.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 sl(2).

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