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Title: | Twisted tensor coproduct of multiplier Hopf algebras | Authors: | DELVAUX, Lydia | Issue Date: | 2004 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | JOURNAL OF ALGEBRA, 274(2). p. 751-771 | Abstract: | We put a non-trivial comultiplication on the natural tensor product algebra of two multiplier Hopf algebras by means of a "cotwisting map." As a special case we characterize the dual of the Drinfel'd double of an algebraic quantum group. Because any finite-dimensional Hopf algebra is an algebraic quantum group, our characterization applies to the dual of the Drinfel'd double of a finite-dimensional Hopf algebra. Then it coincides with a result of Lu. (C) 2004 Elsevier Inc. All rights reserved. | Notes: | Limburgs Univ Ctr, Dept WNI, B-3590 Diepenbeek, Belgium.Delvaux, L, Limburgs Univ Ctr, Dept WNI, Universiteitslaan, B-3590 Diepenbeek, Belgium.lydia.delvaux@luc.ac.be | Document URI: | http://hdl.handle.net/1942/2188 | ISSN: | 0021-8693 | e-ISSN: | 1090-266X | DOI: | 10.1016/j.jalgebra.2003.09.006 | ISI #: | 000220527200018 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2005 |
Appears in Collections: | Research publications |
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