A Picard-Brauer Five Term Exact Sequence for Braided Categories

Autores: José N. Alonso Álvarez , José Manuel Fernández Vilaboa , Ramón González Rodríguez , María Purificación López López , Emilio Villanueva Novoa
Localización: Rings, Hopf algebras, and Brauer groups: proceedings of the fourth week on algebra and algebraic geometry / Stefaan Caenepeel (ed. lit.) , A. Verschoren (ed. lit.) , 1998, ISBN 0-8247-0153-4, págs. 11-42
Idioma: inglés
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Resumen
- 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.