On corepresentations of multiplier Hopf algebras |
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Authors: | Shuan-hong Wang Hai-xing Zhu |
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Affiliation: | 1. Department of Mathematics, Southeast University, Nanjing, 210096, P. R. China
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Abstract: | 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. |
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Keywords: | (group-cograded) multiplier Hopf algebra copresentation crossed module covariant module Hopf group-coalgebra twisted tensor coproduct |
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