CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Invertible bimodule categories over the representation category of a Hopf algebra
Autor/es:
BOYANA FEMIC; ADRIANA MEJÍA CASTAÑO; MARTIN MOMBELLI
Revista:
JOURNAL OF PURE AND APPLIED ALGEBRA
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Oxford; Año: 2014 vol. 218 p. 2096 - 2118
ISSN:
0022-4049
Resumen:
For any finite-dimensional Hopf algebra H we construct a group homomorphism BiGal(H) → BrPic(Rep(H)), from the group of equivalence classes of H-biGalois objects to the group of equivalence classes of invertible exact Rep(H)-bimodule categories. We discuss the injectivity of this map. We exemplify in the case H = Tq is a Taft Hopf algebra and for this we classify all exact indecomposable Rep(Tq)-bimodule categories.
