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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/7799

Title: Multiplier Hopf Algebras in Categories and the Biproduct Construction
Authors: DELVAUX, Lydia
Issue Date: 2007
Citation: ALGEBRAS AND REPRESENTATION THEORY, 10. p. 533-554
Abstract: Let B be a regular multiplier Hopf algebra. Let A be an algebra with a non-degenerate multiplication such that A is a left B-module algebra and a left B-comodule algebra. By the use of the left action and the left coaction of B on A, we determine when a comultiplication on A makes A into a “B-admissible regular multiplier Hopf algebra.” If A is a B-admissible regular multiplier Hopf algebra, we prove that the smash product A # B is again a regular multiplier Hopf algebra. The comultiplication on A # B is a cotwisting (induced by the left coaction of B on A) of the given comultiplications on A and B. When we restrict to the framework of ordinary Hopf algebra theory, we recover Majid’s braided interpretation of Radford’s biproduct.
URI: http://hdl.handle.net/1942/7799
DOI: 10.1007/s10468-007-9053-6
ISI #: 000250372200002
ISSN: 1386-923X
Category: A1
Type: Journal Contribution
Validation: ecoom, 2008
Appears in Collections: Research publications

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