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`http://hdl.handle.net/1942/7799`

Title: | Multiplier Hopf Algebras in Categories and the Biproduct Construction |

Authors: | DELVAUX, Lydia |

Issue Date: | 2007 |

Source: | 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. |

Document URI: | http://hdl.handle.net/1942/7799 |

ISSN: | 1386-923X |

e-ISSN: | 1572-9079 |

DOI: | 10.1007/s10468-007-9053-6 |

ISI #: | 000250372200002 |

Category: | A1 |

Type: | Journal Contribution |

Validations: | ecoom 2008 |

Appears in Collections: | Research publications |

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