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

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

  • 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.

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