INVESTIGADORES
MOMBELLI Juan Martin
artículos
Título:
Invertible bimodule categories over the representation category of a Hopf algebra
Autor/es:
J.M. MOMBELLI, BOJANA FEMIC Y ADRIANA MEJÍA CASTAÑO
Revista:
JOURNAL OF PURE AND APPLIED ALGEBRA
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2014 vol. 218 p. 2096 - 2118
ISSN:
0022-4049
Resumen:
For any finite-dimensional Hopf algebra H we construct a group homomorphism $iga(H) o ext{BrPic}(Rep(H))$, 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 $H=T_q$ is a Taft Hopf algebra and for this we classify all exact indecomposable $Rep(T_q)$-bimodule categories.
