A Picard-Brauer Five Term Exact Sequence for Braided Categories
- J.N. Alonso Alvárez
- J.M. Fernández Vilaboa
- R. González Rodríguez
- M.P. López López
- E. Villanueva Novoa
- Stefaan Caenepeel (ed. lit.)
- Alain Verschoren (ed. lit.)
Éditorial: Marcel Dekker
ISBN: 0-8247-0153-4
Année de publication: 1998
Pages: 11-42
Type: Chapitre d'ouvrage
Résumé
We construct a Brauer group for a braided monoidal category. When C and D are braided closed categories with equalizers and coequalizers such that D is a subcategory of C and the canonical inclusion i : D hooked right arrow C possesses a left adjoint F that verifies suitable conditions we construct a Picard-Brauer five term exact sequence that generalizes other sequences that appear in different contexts.