Quasi-triangular Hopf algebras and invariant Jacobians
本文选题:quasi-triangular 切入点:Hopf 出处:《Science China(Mathematics)》2017年03期 论文类型:期刊论文
【摘要】:We show that two module homomorphisms for groups and Lie algebras established by Xi(2012)can be generalized to the setting of quasi-triangular Hopf algebras.These module homomorphisms played a key role in his proof of a conjecture of Yau(1998).They will also be useful in the problem of decomposition of tensor products of modules.Additionally,we give another generalization of result of Xi(2012)in terms of Chevalley-Eilenberg complex.
[Abstract]:We show that two module homomorphisms for groups and Lie algebras established by Xi(2012)can be generalized to the setting of quasi-triangular Hopf algebras.These module homomorphisms played a key role in his proof of a conjecture of Yau(1998).They will also be useful in the problem of decomposition of tensor products of modules.Additionally,we give another generalization of result of Xi(2012)in terms of Chevalley-Eilenberg complex.
【作者单位】: Institute
【基金】:supported by National Natural Science Foundation of China (Grant No. 11501546)
【分类号】:O152.5
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