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π-quasitriangular group-cograded multiplier Hopf algebras
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作者 杨涛 王栓宏 《Journal of Southeast University(English Edition)》 EI CAS 2009年第4期552-556,共5页
Let G be a group and (A, B) be a pair of multiplier Hopf algebras, where B is regular G-cograded. Let π be a crossing action of G on B, D^π=A^cop∝B=+p∈GDπ^p with Dπ^p=A^cop∝Bp, is the Drinfeld double of the ... Let G be a group and (A, B) be a pair of multiplier Hopf algebras, where B is regular G-cograded. Let π be a crossing action of G on B, D^π=A^cop∝B=+p∈GDπ^p with Dπ^p=A^cop∝Bp, is the Drinfeld double of the pair (A, B), and then the deformation D^π becomes a multiplier Hopf algebra. B×A can be considered as a subalgebra of M(D^π×D^π), the image of element b×a in B×A is (1∝b)×(a∝1) in M(D^π×D^π). Let W =∑αWα∈ M(B×A) be a π-canonical multiplier for the pair (A, B) with Wα∈M(Bα×A) for all α∈G. The image of W in M(D^π×D^π)is a π-quasitriangular structure over D^π. 展开更多
关键词 multiplier Hopf algebra group-cograded Drinfeld double quasitriangular
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On Corepresentations of Multiplier Hopf Algebras
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作者 Shuan-hong WANG Hai-xing ZHU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第6期1087-1114,共28页
We present a general construction producing a unitary corepresentation of a multiplier Hopf algebra in itself and study RR-corepresentations of twisted tensor coproduct multiplier Hopf algebra. Then we investigate som... We present a general construction producing a unitary corepresentation of a multiplier Hopf algebra in itself and study RR-corepresentations of twisted tensor coproduct multiplier Hopf algebra. Then we investigate some properties of functors, integrals and morphisms related to the categories of the crossed modules and covariant modules over multiplier Hopf algebras. By doing so, we can apply our theory to the case of group-cograded multiplier Hopf algebras, in particular, the case of Hopf group-coalgebras. 展开更多
关键词 (group-cograded) multiplier Hopf algebra copresentation crossed module covariant module Hopf group-coalgebra twisted tensor coproduct
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