A Lot of Quasitriangular Group-cograded Multiplier Hopf Algebras |
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Authors: | Tao Yang Shuan-hong Wang |
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Institution: | 1.Department of Mathematics,Southeast University,Nanjing,China |
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Abstract: | A new method of constructing quasitriangular group-cograded multiplier Hopf algebras is provided. For a multiplier Hopf dual
pairing σ between regular multiplier Hopf algebras A and B, we introduce the concept of a σ-compatible pairing (Φ, Ψ, σ ), where Φ and Ψ are actions of the twisted semi-direct group of a group G on A and B, respectively. We construct a twisted double group-cograded multiplier Hopf algbera D(A, B; σ, Φ, Ψ). Furthermore, if there is a canonical multiplier in M(B ⊗ A) we show existence of quasitriangular structure on D(A, B; σ, Φ, Ψ). As an application, special cases and examples are given. |
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