Two characterizations of finite quasi-Hopf algebras
β Scribed by Peter Schauenburg
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 210 KB
- Volume
- 273
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
Let H be a finite-dimensional quasibialgebra. We show that H is a quasi-Hopf algebra if and only if the monoidal category of its finite-dimensional left modules is rigid, if and only if a structure theorem for Hopf modules over H holds.
π SIMILAR VOLUMES
All rational semisimple braided tensor categories are representation categories of weak quasi Hopf algebras. To prove this result we construct for any given category of this kind a weak quasi tensor functor to the category of finite dimensional vector spaces. This allows us to reconstruct a weak qua
Let H denote a finite-dimensional Hopf algebra with antipode S over a field β«ήβ¬ -. w We give a new proof of the fact, due to Oberst and Schneider Manuscripta Math. 8 Ε½ . x 1973 , 217α241 , that H is a symmetric algebra if and only if H is unimodular and S 2 is inner. If H is involutory and not sem