A Picard-Brauer Five Term Exact Sequence for Braided Categories

  1. J.N. Alonso Alvárez
  2. J.M. Fernández Vilaboa
  3. R. González Rodríguez
  4. M.P. López López
  5. E. Villanueva Novoa
Libro:
Rings, Hopf algebras, and Brauer groups: proceedings of the fourth week on algebra and algebraic geometry
  1. Stefaan Caenepeel (ed. lit.)
  2. Alain Verschoren (ed. lit.)

Editorial: Marcel Dekker

ISBN: 0-8247-0153-4

Ano de publicación: 1998

Páxinas: 11-42

Tipo: Capítulo de libro

WoS: WOS:000072153200002 DIALNET GOOGLE SCHOLAR

Resumo

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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