The category of modules over a monoidal category: Abelian or not?
โ Scribed by Alessandro Ardizzoni
- Publisher
- Springer-Verlag
- Year
- 2004
- Tongue
- German
- Weight
- 831 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0430-3202
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We consider schemes (X, O X ) over an abelian closed symmetric monoidal category (C, โ, 1). Our aim is to extend a theorem of Kleiman on the relative Picard functor to schemes over (C, โ, 1). For this purpose, we also develop some basic theory on quasi-coherent modules on schemes (X, O X ) over C.
For a finite dimensional semisimple cosemisimple Hopf algebra A and its dual Hopf algebra B, we set up a natural one-to-one correspondence between categories with actions of the monoidal categories of representations of A and of B. This gives a categorical interpretation of the duality for actions o