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
Relative Hopf Modules for (Dual) Quasi-Hopf Algebras
β Scribed by Daniel Bulacu; Erna Nauwelaerts
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 204 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Let A be an algebra over a commutative ring R. If R is noetherian and A β’ is pure in R A , then the categories of rational left A-modules and right A β’ -comodules are isomorphic. In the Hopf algebra case, we can also strengthen the Blattner-Montgomery duality theorem. Finally, we give sufficient con
Ε½ < . the Poincare series P A H . In Section 3 we will compare these three Β΄k Ε½ . invariants with the ordinary S -cocharacter, GL k -cocharacter, and n Poincare series. As a result of this comparison we show that the following \* Support by the NSF under Grant DMS 9303230. Work done during the autho
We investigate Hopf algebras with non-zero integral from a coalgebraic point of view. Categories of Doi-Koppinen modules are studied in the special case where the defining coalgebra is left and right semiperfect, and several pairs of adjoint functors are constructed. As applications we give a very s