Lie bialgebra structures on derivation Lie algebra over quantum tori

作者:Xiaomin TANG[1];Lijuan LIU[2];Jinli XU[3] 刊名:中国数学前沿:英文版 上传者:方华丽

【摘要】We investigate Lie bialgebra structures on the derivation Lie algebra over the quantum torus. It is proved that, for the derivation Lie algebra W over a rank 2 quantum torus, all Lie bialgebra structures on W are the coboundary triangular Lie bialgebras. As a by-product, it is also proved that the first eohomology group H1 (W, W × W) is trivial,

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