Radford's biproduct for quasi-Hopf algebras and bosonization
- 作者：Bulacu ; Daniel ; Nauwelaerts ; Erna
- 关键词：57T05 ; 81R05 ; 81R50
- 刊名：Journal of Pure and Applied Algebra
- 出版年：2002
- 期刊代码：35_00224049
- 类别：mt
- 出版时间：September 24, 2002
- 卷：174
- 期：1
- 页码：1-42
- 文件大小：363 K
摘要
Let B be a braided Hopf algebra (with bijective antipode) in the category of left Yetter–Drinfeld modules over a quasi-Hopf algebra H. As in the case of Hopf algebras (J. Algebra 92 (1985) 322), the smash product B#H defined in (Comm. Algebra 28(2) (2000) 631) and a kind of smash coproduct afford a quasi-Hopf algebra structure on B
H. Using this, we obtain the structure of quasi-Hopf algebras with a projection. Further we will use this biproduct to describe the Majid bosonization (J. Algebra 163 (1994) 165) for quasi-Hopf algebras.
H. Using this, we obtain the structure of quasi-Hopf algebras with a projection. Further we will use this biproduct to describe the Majid bosonization (J. Algebra 163 (1994) 165) for quasi-Hopf algebras.