Document Server@UHasselt >
Research publications >
Please use this identifier to cite or link to this item:
|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.|
|ISI #: ||000250372200002|
|Type: ||Journal Contribution|
|Validation: ||ecoom, 2008|
|Appears in Collections: ||Research publications|
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.