Invertible bimodule categories over the representation category of a Hopf algebra期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Invertible bimodule categories over the representation category of a Hopf algebra

Authors:	Bojana Femić Adriana Mejía Castaño Martín Mombelli

Institution:	1. Facultad de Ingeniería, Universidad de la República, Julio Herrera y Reissig 565, 11 300 Montevideo, Uruguay;2. CIEM-FAMAF, Universidad Nacional de Córdoba, Medina Allende s/n, 5000, Córdoba, Argentina

Abstract:	For any finite-dimensional Hopf algebra H we construct a group homomorphism BiGal(H)→BrPic(Rep(H)) $BiGal (H) \to BrPic (Rep (H))$ , from the group of equivalence classes of H -biGalois objects to the group of equivalence classes of invertible exact Rep(H) $Rep (H)$ -bimodule categories. We discuss the injectivity of this map. We exemplify in the case H=_T_q $H = T_{q}$ is a Taft Hopf algebra and for this we classify all exact indecomposable Rep(_T_q) $Rep (T_{q})$ -bimodule categories.

Keywords:	18D10 16W30 19D23
本文献已被 ScienceDirect 等数据库收录！