Resumen de A Picard-Brauer Five Term Exact Sequence for Braided Categories

José N. Alonso Álvarez, José Manuel Fernández Vilaboa, Ramón González Rodríguez, María Purificación López López, Emilio Villanueva Novoa

• 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.