Lie bialgebra structures on the Lie algebra $\widetilde{\frak{sl}_2(C_q[x,y])}$

preprint2012arXivOpen access

In the present paper we shall investigate the Lie bialgebra structures on the Lie algebra $\widetilde{\frak{sl}_2(C_q[x,y])}$ , which are shown to be triangular coboundary.

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Lie bialgebra structures on the Lie algebra $\widetilde{\frak{sl}_2(C_q[x,y])}$

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Lie bialgebra structures on the Lie algebra sl2(Cq[x,y])~\widetilde{\frak{sl}_2(C_q[x,y])}sl2​(Cq​[x,y])​

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Lie bialgebra structures on the Lie algebra $\widetilde{\frak{sl}_2(C_q[x,y])}$