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Title: | Yetter-Drinfel'd modules for group-cograded multiplier Hopf algebras | Authors: | DELVAUX, Lydia | Issue Date: | 2008 | Publisher: | TAYLOR & FRANCIS INC | Source: | COMMUNICATIONS IN ALGEBRA, 36(8). p. 2872-2882 | Abstract: | We give a representation-theoretic and a categorical interpretation of the Drinfel'd double into the framework of group-cograded multiplier Hopf algebras. The Drinfel'd double as constructed by Zunino for a finite-type Hopf group-coalgebra is an example of this construction in the sense that the components of the group-cograded multiplier Hopf algebras are unital and finite-dimensional algebras and the admissible action is related with the adjoint action of the group on itself. | Notes: | Univ Hasselt, Dept Math, B-3590 Diepenbeek, Belgium. | Keywords: | Drinfel'd double; group-cograded multiplier Hopf algebras; Hopf group-coalgebras; Yetter-Drinfel'd modules | Document URI: | http://hdl.handle.net/1942/8473 | ISSN: | 0092-7872 | e-ISSN: | 1532-4125 | DOI: | 10.1080/00927870802108080 | ISI #: | 000258688400005 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2009 |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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Yetter.pdf | Non Peer-reviewed author version | 188.51 kB | Adobe PDF | View/Open |
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