Abelian categories of modules over a (lax) monoidal functor
โ Scribed by D.N. Yetter
- Book ID
- 108303543
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 461 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0001-8708
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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