Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/2446
Title: | Twisted tensor product of multiplier Hopf (*-)algebras | Authors: | DELVAUX, Lydia | Issue Date: | 2003 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | JOURNAL OF ALGEBRA, 269(1). p. 285-316 | Abstract: | We combine two (not necessarily commutative or co-commutative) multiplier Hopf (*-)algebras to a new multiplier Hopf (*-)algebra. We use the construction of a twisted tensor product for algebras, as introduced by A. Van Daele. We then proceed to find sufficient conditions on the twist map for this twisted tensor product to be a multiplier Hopf (*-)algebra with the natural comultiplication. For usual Hopf algebras, we find that Majid's double crossed product by a matched pair of Hopf algebras is exactly the twisted tensor product Hopf algebra according to an appropriate twist map. Starting from two dually paired multiplier Hopf (*-)algebras we construct the Drinfel'd double multiplier Hopf algebra in the framework of twisted tensor products. (C) 2003 Published by Elsevier Inc. | Notes: | Limburgs Univ Ctr, Dept WNI, B-3590 Diepenbeek, Belgium.Delvaux, L, Limburgs Univ Ctr, Dept WNI, Univ Laan, B-3590 Diepenbeek, Belgium. | Document URI: | http://hdl.handle.net/1942/2446 | ISSN: | 0021-8693 | e-ISSN: | 1090-266X | DOI: | 10.1016/S0021-8693(03)00467-8 | ISI #: | 000186142400015 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2004 |
Appears in Collections: | Research publications |
Show full item record
SCOPUSTM
Citations
11
checked on Sep 3, 2020
WEB OF SCIENCETM
Citations
12
checked on Oct 12, 2024
Page view(s)
104
checked on Jul 31, 2023
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.